Algebra 2 Mid-TermReview

Simplify: 2/5(10x -15) = 7

Simplify: 4(x – 8) – ( - 7 – 9x)

Solve: |x + 4|= 7

Solve: 4|x – 2|= 5

Solve: 7- x 9

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Solve:

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2x−8≥−4x+3

Solve: 8|2x – 12|= 3x

Show the steps clearly and completely as you solve. Round your answer to three correct decimal places.

• 14.5 – 3.7x = 8.9x + 23.79

Show the steps clearly and completely as you solve and graph the solution.

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−3x −8 ≤ 22

Show the steps clearly and completely as you solve and graph the solution.

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2

3x −12 ≥

5

6

If f(x) = 7x – 8, find f(12)

If f(x) = ½(12x – 6) + x2, find f(12)

Which of the following is not a function.

• A) (9,0),(3,4),(-7,12)• B) (4,5), (4,5),(3,-2)• C) ( 7,9),(-8,4),(2,9)• D) (-6,4),(8,1),(-6,4)

Which of the following is not a function.

• A) (5,1),(13,8),(-7,8)• B) (14,0), (14,7),(-3,-9)• C) ( -1,9),(-8,9),(12,9)• D) (-6,4),(8,1),(9,12)

If f(x) = x2+9 and g(x) = 4 - 7x find g(f(7))

If f(x) = 2x2 + 4 and g(x) = -5x + 3 find f(g(f(-2))

Which of the following is not a function?

A) B)

D)C)

Which of the following is not a function?

Which of the following has a range of all real numbers?

A)

Show the steps carefully and completely as you find the inverse of the function. Graph the equation and the inverse.

• y = - 4x - 7

As a sales person, Eric, Fu is paid a daily salary plus commission. When his sales are $1000

he makes #100. When his sales are $1400, he makes $120.

Write a linear equation to model this situation and predict how much he will make if his sales are $2000.

p.77 Old Algebra 2 book

Namid is examining the calling card portion of his phone bill. A 4-minute call at the night rate cost

$2.65. A 10-minute call at the night rate cost $4.75.

Write a linear equation to model this situation and use it to estimate the cost of a 30-minute call.

p.80 Old Algebra 2 book

Find the slope of the line through (3,-4), (2,-7)

Find the equation of a line that is perpendicular to the line that passes through (3,-4), (2,-7) and

contains (-3,5)

Which of the following is a vertical line that passes through (9,5)?

Which of the following is a horizontal line that passes through (-6,3)?

Which line is parallel to y = 3/2x -9?

Which line is perpendicular to y = 4x + 12?

What is the y-intercept of -3x + 4y = 28?

Show all your work to find the equation of the line that passes through (-7,3), (-2,5)

Show all work to find the intersection of x + 2y = 6 and 2x + y = 9.

Show all work to find the intersection of y = x + 3 and y = 2x + 6.