Algebra Formative Review

March 24, 2010

Question #1

Which system of equations could be used to find the length of a rectangle that has a perimeter of 28 inches and has length that is two more than five times the width?

a. 2l + 2w = 28 b. 2l + 2w = 28l = 5w l = 5w + 2

c. l + w = 28 d. l + w = 28w = 5l w = 5l + 2

Question #2

The school cafeteria sells a hamburger meal for $5 and a vegetarian meal for $4. On Tuesday the cafeteria sold 3 more hamburger meals than vegetarian meals. The income from these sales was $357. Which system of equations can best matches this situation?

a. 5h + 4v = 357 b. 5h + 4v = 3v = h + 3 h = v + 357

c. 4h + 5v = 357 d. 5h + 4v = 357h = v – 3 h = v + 3

Question #3

Question #4

Question #5

Which is not a solution to the graph to the right?

a. (0, 0)

b. (2, 3)

c. (-3, -3)

d. (0, -5)

Question #6

What is the equation of a line that contains the point (-2, -14) and has a slope of 5?

(hint: Calculator table!!!)

a. y = 5x - 4

b. y = -4x + 5

c. y = x – 5

d. y = x + 4

Question #7

Which of the following best describes the solution(s) to the system of equations below?

x – 2y = 8

y = ½ x – 4

a. There is one solution

b. There are no solutions

c. There are infinite solutions

d. There are two solutions

Question #8

Which statement is true about the equations y = 5x – 2 and y = 5x + 6

a. They are perpendicular

b. They intersect

c. They are parallel

d. The system has infinite solutions

Question #9

The slope of the equation y = -6x + 4 is doubled and the y-intercept is cut in half. Which of the following statements best describes the graph of the new equation?

a. The graph is less steepb. The graph is shifted up 2 spacesc. The graph is steeperd. The graph remains the same

Question #10

Which statement best describes the range of the function to the right?

a. All real numbers b. R = {-1}c. R = {-1<y<15}d. All real numbers

greater than -1

Question #11

What is the equation of a line with a slope of -1 that passes through the point (-2, 8)?

(hint: y = mx + b form, use the table in your calculator!)

a. x + y = 6

b. -x + y = 6

c. x – 6 = y

d. None of the above

Question #12

The area of a rectangle can be represented by the equation A = 6(x - 5). What is a reasonable domain for this equation.

(hint: What values of the domain make the area a reasonable number?)

a. All real numbersb. x < 5c. x > 5d. x = 5

Question #13

What is the solution to the equation:

2x – 5(x + 2) < 2x + 5

(hint: Draw the river, distribute, combine like terms, move x’s to one side, move #’s to one side, solve for x)

a. x < -3

b. x > -3

c. x > 1

d. x < 1

Question #14

The high school is having a play. Adult tickets cost $5.00 and student tickets cost $3.50. The total amount of money collected was $337.50 and 75 total tickets were sold. How many adult tickets were sold?

(hint: have x = student and y = adult, make an equation for total money and one for total tickets sold. Change the equations to y = mx + b form, solve by finding the intersection)

a. 25 b. 50 c. 75 d. None of these

Question #15

Five adults and four children went to a movie and paid $37.50 for their tickets. Another 3 adults and one child went to the movies and paid $19.00. How much does one child ticket cost?

A. $5.50 B. $4.00 C. $2.50 D. $19