Unit 2: Linear Equations Test Corrections

Question Category: Solving Linear Equations

What is the justification for step 2 in the solution process?

10x − 25 − 3x= 4x − 1

Step 1: 7x − 25= 4x − 1

Step 2: 7x= 4x + 24

• the multiplication property of equality

• the division property of equality

• the subtraction property of equality

• the addition property of equality

Question Category: Solving Linear Equations

What is the solution for x in the equation?

16x − 4 + 5x = -67

• x = -3

• x = 3

Question Category: Solving Advanced Linear Equations

Currently, Nora is 3 times as old as Damon. In 8 years, she will only be 2 times as old as Damon. How old will Damon be in 8 years?

• 8 years old

• 16 years old

• 24 years old

• 32 years old

• n = -16

• n = -2

• n = 2

• n = 16

Question Category: Solving Literal Equations

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

A line is drawn on the coordinate plane that passes through the point (10,1) and has a slope of -0.5. The y-intercept of the line is:

• 6

• 4

• -6

• 0

• The speed is equivalent to

  159.4 Kilometers/hour or

  2.7 kilometers/minute

• The speed is equivalent to

  2.7 Kilometers/hour

  or

  159.4 Kilometers/minute

• The speed is equivalent to

  175.5 Kilometers/hour

  or

  2.0 Kilometers/minute

• The speed is equivalent to

  2.0 Kilometers/hour

  or

  175.5 Kilometers/minute

Question Category: Solving Linear Inequalities

An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300.

Currently, the shelter has 165 animals.

If none of the animals get adopted, which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?

• x < 25

• x < 27

• x < 33

• x < 35

Question Category: Solving Linear Inequalities

Jamal is comparing his transportation options for an upcoming trip. He’s considering a rental car and a taxi service. Based on his planned routes during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a daily rate and unlimited miles. If Jamal’s trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi service?

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