Unit 7 Test Review

Equations

100

Determine the solution to this equation:

x + 4 = 10

6

200

Determine the solution to this equation:

x - 2.3 = 9

11.3

300

Is x = 7 the solution to this equation?  (Yes or No)

2x = 14

Yes

400

What is the value of x when:

1/2 x = 9

x = 18

500

What is the value of x that will make this equation true?

1/4 + x = 2

1 3/4

Writing Equations

100

The sum of 2 and a number totals 6

x + 2 = 6

200

A group of friends have 10 stickers.  They are splitting up the stickers equally.  If each friend gets a total of 2 stickers.  Write an equation with y friends.  

10/y = 2

300

The Johnson family decided to rescue a dog from the shelter. When they got her 5 years ago, she was already y years old. Their dog is 12 years old now.  Write an equation that models the story.   

y + 5 = 12

400

Before he went to camp last summer, Mason's grandmother made him a patchwork quilt out of his old T-shirts. The quilt has a total area of q square feet. To create the patchwork design, she used 12 rectangular patches, each with an area of 2 square feet.  Write an equation to model the story.   

q/12 = 2

Will also take 2(12) = q

500

Emily is buying packs of chips that cost $2.25 each.  She has $9 total to spend on x number of chips. Write an equation that represents this situation.   

2.25x = 9

Inequalities

100

x + 2 > 8

x > 6

200

9 + y < 10

y < 1

300

2a > 15

a > 7.5

400

c + 1/3 > 9

c > 8 2/3

500

Is q = 5 a solution to the inequality below?

8 ≥ q

Yes

Writing Inequalities

100

There are less than 15 swans (s) in the pond

s < 15

200

At a secondhand store clearance bin, all items cost at most 50 cents

Write an inequality to show the price of c items

c ≤ 50

300

Tiana is using peanut butter for cookies.  She wants to use more than the recipe calls for.  The recipe calls for 6 cups of peanut butter.  Write an inequality showing how much peanut butter (p) Tiana should use.  

p > 6

400

Rosa is shopping for books at her school's book fair. She found a sale shelf with books all priced at $12 or less.  Write an inequality for the price (p) of these books.   

p ≤ 12

500

Alex wants to buy candy for her friends.  Each candy costs $3.  She has a maximum of $15 to spend.  Write an inequality to show the problem, let c stand for the number of candies she can buy.

3c ≤ 15

Mystery

100

Solve the inequality and graph on the number line

13 < x - 3

x > 16

16 < x

<—----------O-------------->

   13 14 15 16 17 18 19 20

200

The sum of a number x and 9  is more than 20.  Write an inequality to represent this problem.

x + 9 > 20

300

Solve this equation

x/5 = 10

x = 50

400

Solve the inequality and graph on the number line.

2n < 10

n < 5

<-----------O----------->

      1 2 3 4 5 6 7 8 9 

500

What is the value of x that will make this equation true?

1/4 ÷ x = 1

x = 1/4