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Coles Math 1: Unit 4 Study Guide

Last updated over 2 years ago

10 questions

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Question 1

1.

Which statement below is true?
4(x - 5) = -12
4x - 20 = -12
4x = -8
x = -2

This equation was solved correctly

Another way to solve would have been to divide by 4 first 

the answer should be x = 8

Question 2

2.

Solve the following inequality
-4(x - 2) + 5 < 9

Question 3

3.

Solve for x in the equation:
ax + by = d

Question 4

4.

Willow is driving on the freeway. She just passed mile marker 325. The markers have been increasing as she drives by them. The fastest Willow will drive is 75 miles per hour. However there is a bit of traffic that might slow her down, but she doesn’t know exactly how much it will slow her down.

a. Write an inequality to represent Willow’s speed. Use x to represent speed.

Question 5

5.

Write an inequality to represent Willow’s position relative to the mile markers two hours from now. Use x to represent hours.

Question 6

6.

Solve the literal equation for A.
(2/3)A + 6B = C

(3/2)C - 9B

(1/2)C - 6B

3/2(C-B)

3C - 9B

Question 7

7.

solve the inequality given and draw your solution on a number line

Question 8

8.

You are mowing lawns to earn money to buy a new video game system, which costs $500. You plan to save every dollar you earn. In addition, you want to be able to afford the accessories for the video game system (e.g., controllers, games). You already have $150. You charge $9.50 per hour. Write an inequality to show how many hours you need to work before you have enough money to purchase the video game system and its accessories.

Question 9

9.

Rewrite this equation in slope-intercept form by solving for x:
12y + 2x = 24

Question 10

10.

Often when solving equations, the steps taken are referred to as “un-doing” the equation. Why do you think this is the case? What is being “un-done”? Explain how you know what the first step in solving an equation should be. If an equation requires several steps to solve, how do you determine the order in which you should do them? (You need at least two complete sentences for full credit).