Unit 5 Assessment

Expressions and Equations

100

The value of the expression (3 + 4) - 2x3

1

200

The equations that have x as a value of 5 a) x + 4 = 9 b) 3x = 12 c) x - 2 = 3 d) 6x= 30

a, c, and d.

300

Simplify the expression using the distributive property. 3(2x + 4m)

6x + 12m

400

The value to the expression. 9 x 2 + 4^2 - 12

22

500

Sandra was collecting pencils. She has 15 red pencils and y green pencils. She has a total of 40 Write an equation that represents this situation.

15 + y = 40, 40 - 15 = y, 40 - y = 15

Ratios

100

Pablo bought 6 tickets to the fair. He spent $48. What is the unit price?

$8

200

The ratio of cups of sugar to cups of chocolate chips in a recipe is 2 : 3. If 15 cups of these ingredients are used, how many cups were sugar? (Hint: Equivalent Fractions)

6 cups of sugar.

300

Emily and Laysha both worked at the same place. The ratio of money they earned in tips was 2:4. If Emily earned $10, how much did they make all together? Hint: Ratio table

$30

400

Your dad paid $36 for 9 gallons of gas. How much would you pay for 7 gallons of gas from the same place?

$28

500

At Pippy’s Pizza Palace you can get a 12 inch pizza for $10.50 or a 16 inch pizza for $12. Which pizza is the better buy?

What is 16 in for $0.75 each in.

Percents

100

0.7 as a percent.

70%

200

1/4 as a percent

25%

300

Stephanie saved money to go shopping. She has a total of $80. She spent 25% of her money. How much money did she have left over?

$60

400

For a certain brand of action figures, 40% of the figures have red capes. If 200 action figures are produced, how many can be expected to have red capes?

80 red capes

500

At Cassie’s Cashew Shoppe, a sign says, “Today only: 20% off anything.” Maribel realizes that she has a coupon for 1/5 off the price of anything in the shop. Which discount should she use, the 20%-off deal or the 1/5 -off coupon? Does it matter? Show your mathematical work and justify in complete sentences.

i/5 = 0.20 = 20% so it does not matter what coupon she uses, she will save the same amount, 20%

Data and Area

100

What is the difference between a bar graph and a histogram?

Bar graphs have bars that are not connected. Histograms have bars that are connected. Histograms have number lines on the bottom and top while bar graphs have words at the bottom.

200

What are 3 types of data representation?

Bar graph, histogram, ven diagram, dot plot, stem and leaf plot.

300

Find the area of a rectangle if L= 12 and W= 5

60

400

The Surface Area of a rectangular prism is SA = 2s^2 + 4sh. What is the surface area of this rectangular prism if s = 2 and h = 4?

40

500

Jose is putting up wallpaper in his living room. Wallpaper is $0.50 per square foot. One wall measures 10 feet by 8 feet. How much will wallpaper cost for this wall?

$40

Miscellaneous

100

What are the different symbols of inequalities?

> , < , <= , >=

200

What symbols are used for open circles? What symbols are used for closed circles in inequalities?

< , > open circles <= >= closed circles

300

Graph the solution on a number line of r - 4 > 1

r > 5 , open circle on 5 directed to the right

400

Graph the solution on a number line of 2r + 2 < 8

r < 3 open circle on 3, directed to the left

500

What are the connections between the different representations of a portion? Give examples and write in complete sentences.

The connections between the different representations of a portions are that all the representations can be converted to each other. We can represent a portion as a rate, percent, fraction, decimal, and in words. Converting the portions does not change the amount. Such as 1/4 = 0.25 = 25% or 1/5 = 0.20 = 20%