Florida Algebra 1 End-of-Course Assessment Item … · Florida Algebra 1 End-of-Course Assessment...
Transcript of Florida Algebra 1 End-of-Course Assessment Item … · Florida Algebra 1 End-of-Course Assessment...
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.2.3; Describe the concept of a function, use function notation, determine
whether a given relation is a function, and link equations to functions.
Also assesses MA.912.A.2.13; Solve real-world problems involving relations and functions.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
What equation models the data in the table if d = number of days and c = cost?
Days Cost
2 44
3 66
5 110
6 132
A. d = 22c B. c = 22d C. c = d + 22d D. c = d + 22
Problem 4:
You can use the formula to convert temperature in degrees Fahrenheit, F, to temperature in
degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
A. 30 degrees Celsius B. 16.7 degrees Celsius C. 52.2 degrees Celsius D. 2.4 degrees Celsius
Problem 5:
If
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.2.4; Determine the domain and range of a relation.
Also assesses MA.912.A.2.13 Solve real-world problems involving relations and functions.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Problem 5:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.1; Solve linear equations in one variable that include simplifying algebraic
expressions.
Also assesses MA.912.A.3.2; Indentify and apply the distributive associative, and commutative
properties of real numbers and the properties of equality.
Problem 1:
Problem 2:
Problem 3:
Solve the problem.
3x – 1 = 5 (x – 1) – 2 (7 – 2x)
A. 3 B. 0 C. -9 D. -10
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.3; Solve literal equations for a specified variable.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
A. p = (1/4) (q + 11)
B. p = q/4 + 11
C. p = (q-11)/4
D. p = q/4 - 11
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.4; Solve and graph simple and compound inequalities in one variable and be
able to justify each step in a solution.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
Solve the inequality for x: (3/5)x ≤ 10 + (1/5)x
A. x ≤ 25
B. x ≤ 4
C. x ≥ 25
D. x ≥ 4
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.5; Symbolically represent and solve multi-step and real-world applications that
involve linear equations and inequalities.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
A. 4 = (r + c) 1.5
B. 4 = (r - c) 1.5
C. 1.5 = (r + c) 4
D. 1.5 = (r - c)4
Problem 5:
Working together, Paul and Daniel can pick forty bushels of apples in 4.95 hours. Had he done it alone, it
would have taken Daniel 9 hours. Find how long it would take Paul to do it alone.
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.8; Graph a line given any of the following information: a table of values, the x-
and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form,
standard form, or point-slope form.
Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and
without graphing technology. Write an equation or inequality represented by a given graph.
Problem 1:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Which of the following is a graph of the equation 2x + y = 4?
A. B.
C. D.
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.9; Determine the slope, x-intercept, and y-intercept of a line given its graph, its
equation, or two points on the line.
Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and
without graphing technology. Write an equation or inequality represented by a given graph.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Determine the slope of the given line.
A. -1/2
B. 2/1
C. -2/1
D. 1/2
Problem 4:
Problem 5:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.10; Write an equation of a line given any of the following information: two
points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line
parallel to a given line, or perpendicular to a given line, through a given point on the new line.
Also assesses
MA.912.A.3.7; Rewrite equations of a line into slope-intercept form and standard
form.
MA.912.A.3.12; Graph a linear equation or inequality in two variables with and
without graphing technology. Write an equation of inequality represented by a
given graph.
MA.912.A.G.1.4; Use coordinate geometry to find slopes, parallel lines,
perpendicular lines and equations of lines
Problem 1:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 2:
Problem 3:
What is the slope-intercept form of the line that passes through (6,-7) and is perpendicular to the line
shown?
A. y = 2x + 3
B. y = 4x -1.5
C. y = (1/2) x + 4
D. y = (-1/2) x - 4
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
.
A. y = -2x + 12
B. y = 2x - 8
C. y = 8x - 2
D. y = - 2x + 8
Problem 5:
A. y = 3x
B. y = -3x
C. y = (1/3)x
D. y = (-1/3)x
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.11; Write an equation of a line that models a data set, and use the equation or
the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the
slope is the rate of change.
Also assesses MA.912.A.3.12; Graph a linear equation or inequality in two variables with and
without graphing technology. Write an equation or inequality represented by a given graph.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.3.14; Solve systems of linear equations and inequalities in two and three
variables using graphical, substitution, and elimination methods.
Also assesses
MA.912.A.3.13; Use a graph to approximate the solution of a system of linear
equations or inequalities in two variables with and without technology.
MA.912.A. 3.15; Solve real-world problems involving systems of linear equations
and inequalities in two and three variables.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
What is the value of y in the ordered pair that is the solution for the system?
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.4.1; Simplify monomials and monomial expressions using the laws of integral
exponents.
Problem 1:
Problem 2:
Problem 3:
Problem 4:
What is the coefficient of the simplified expression below?
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 5:
Simplify. Write the exponent of the y in the simplified answer.
A. 7
B. 3
C. 1
D. -3
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.4.2; Add, subtract, and multiply polynomials.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Problem 5:
A. 5x2 - 3x - 3 B. 3x2 - 3x - 3 C. 3x2 - 11x + 7 D. 4x2 - 11x + 7
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.4.3; Factor polynomial expressions.
Also assesses MA.912.A.5.1; Simplify algebraic ratios.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
A. (2x + 5)(2x + 5)
B. (2x + 5)(2x - 5)
C. (2x - 5)(2x - 5)
D. (4x -1)(x + 25)
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.4.4; Divide polynomials by monomials and polynomials with various techniques,
including synthetic division.
Problem 1:
Problem 2:
Problem 3:
The area of the rectangle below can be shown by the expression (16x + 4y) square feet. If the width of the rectangle is 4 feet, what is the length of the rectangle?
A. (12x + 1y) B. (4x + y) C.4x + 4y D. 16x + 1y
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
The perimeter of the square below can be show by the expression below. What is the length of each side of
the square?
A. 3x2 + 6x B. 8x
2 + 20x C. 3x
2 + 24x D. 12x
2 + 6x
Problem 5:
A contractor built a basement for a new home. The volume of the rectangular basement shown at the right is represented by the expression 3x
3 + 6x
2 - 30x. If the height of the basement is 3x,
what is the area of the base?
A. x
3 + 2x
2 -10 B. x
4 +2x
3- 10 C. x
2 + 2x -10 D. 9x
4 + 18x
3- 90x
2
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.5.4; Solve algebraic proportions.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 5:
Solve.
A.1.5 B. -1.5 C. 3 D. 4
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.6.2; Add, subtract, multiply, and divide radical expressions (square roots and
higher).
Also assesses MA.912.A.6.1; Simplify radical expressions.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.7.1; Graph quadratic equations with and without graphing technology.
Also assesses MA.912.A.7.8; Use quadratic equations to solve real-world problems.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Problem 5:
Match the graph with its equation.
y = –2x2 + 2
A. B. C. D.
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.A.7.2; Solve quadratic equations over the real numbers by factoring and by using
the quadratic formula.
Also assesses
MA.912.1.8; Use the zero product property of real numbers in a variety of contexts
to identify solutions to equations.
MA.912.A.7.8; Use quadratic equations to solve real-world problems.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4:
Problem 5:
A. x = 2 or x = 1
B. x = -2 or x = -1
C. x = -2 or x = 1
D. x = 2 or x = -1
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.D.7.1; Perform set operations such as union and intersection, complement, and
cross product.
Problem 1:
Problem 2:
Problem 3:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 4:
Problem 5:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Benchmark: MA.912.D.7.2; Use Venn diagrams to explore relationships and patterns and to make
arguments about relationships between sets.
Problem 1:
Problem 2:
Florida Algebra 1 End-of-Course Assessment Item Bank, Polk County School District
Problem 3:
Problem 4: