Algebra Chapter 3 Test Review

Simplify/Solve

100

(-2)³

-8

200

2³/-2

-4

300

4x² - 5xy + 3x² - 3x

7x² -5xy + 3x

400

9(1+v) = 8(v-2)

v=-25

500

2/5b + 3/10 = 1/2

b=1/2

Write an equation and solve

100

The sum of twice a number and three is seventeen. What is the number?

2n + 3 = 17

n = 7

200

Linda and Bethany paid a total of $18 for ice cream. Linda's ice cream was $6 less than twice the cost of Bethany's ice cream. How much did Linda's ice cream cost?

(2b -6) + b = 18

Linda's ice cream cost $10.

300

The perimeter of a rectangle is 70 cm. If the length is 7 cm longer than the width, what are the dimensions of the rectangle?

2(w+7) + 2w = 70

21 cm by 14 cm

400

Seven less than one-fifth of a number is twenty-eight. What is the number?

1/5n - 7 = 28

The number is 175.

500

Last year, a barbershop had a total income of $125,000. The total income this year was 6% more than last year. What was the total income this year?

x = 125,000 + (6%)(125,000)

This year's income is $132,500.

Vocabulary

100

The name for the group of numbers that cannot be expressed as a ratio of integers

irrational

200

The term for a number's distance from 0

absolute value

300

Identify as a monomial, bionomial, or trinomial:

5xy² - 5xy

binomial

400

What type of formula is used to calculate a term of a sequence from one or more previous terms?

recursive formula

500

Is the equation -3x + 9y = 12 written in standard form? Why or why not?

No, A is not positive, and the constants have a common factor.

Parallel, Perpendicular, or neither?

100

Line 1: y = -3x + 5

Line 2: y = -3x - 5

parallel

200

Line 1: y = 1/5x + 9

Line 2: y = -5x + 9

perpendicular

300

Line 1: through (-7, -1) and (-2, -6)

Line 2: through (5, 1) and (-2, -4)

neither

400

Line 1: x - 9y = 2

Line 2: x - 9y = 10

parallel

500

Line 1: through (-1, -5) and (4, 10)

Line 2: through (-5, 1) and (10, -4)

perpendicular