Free Printable 13.5 Review-Final

Worksheets

13.5 Review-Final

Total questions: 50

Worksheet time: 2hrs 14mins

Name

Class

Date

Did Sarah make an error? If so, which is the best description of her error?

She didn't distribute correctly. The second step should read 3x - 12 = 24

She didn't distribute correctly. The second step should read -3x - 12 = 24

She didn't distribute correctly. The second step should read -3x + 12 = 24

She didn't make an error.

Solve for x.

2(x + 15) = -6

x = -10.5

x = -18

x = 18

x = 10.5

Solve.

-8

-.80

.08

Jacob collects hats. He has 6 hats already, and he collects 2 hats every week.

Which equation models this situation?

y = 2x + 6

y = 6x + 2

y = 2x - 6

y = 6x - 2

Solve for X

4(1-x)+3x = -2x-2

x= 6

x= 3

x= -6

x= -3

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. Write an equation that represents this situation.

y = x(35 + 0.75)

y = 35x + 0.75

y = 0.75x + 35

y = 0.75(x + 35)

A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

25 pieces

35 pieces

75 pieces

70 pieces

A shop produces 39 wetsuits every 2 weeks. How long will it take the shop to produce 429 wetsuits?

18 wk

20 wk

22 wk

24 wk

Solve the proportion.

k=5

k=3.3333333

k=60

k=90

10.

If Mike has a ratio of 2 apples to 3 bananas, how many apples would you expect him to have if he has 15 bananas?

11.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

2.5 cups milk

1.75 cups milk

2 cups flour

2.25 cups milk

12.

The park ranger stocks the children's fishing pond keeping a ratio of 4 sunfish to 3 perch. If he puts 300 sunfish into the pond, how many perch should be put into the pond?

400

425

225

525

13.

Set up the following proportion: Pens are 3 for $0.69 at the supply store. What proportion can be used to find p, the amount it will cost Mrs. Faber to buy 180 pens?

\frac{3}{.69}=\frac{x}{180}

\frac{.69}{180}=\frac{x}{3}

$\frac{3}{.69}=\frac{180}{x}$

$\frac{x}{.69}=\frac{3}{180}$

14.

Set up the following proportion: It cost Jericho and his 3 friends $20 to get into the skating rink. What proportion can be used to find c, the amount it will cost Jericho’s parents if they have Jericho’s birthday party at the skating rink and pay for Jericho and all 24 of his classmates?

4/20 = 25/ x

20/25 = x/4

x/25 = 4/20

x/4=25/20

15.

Of Bernie's insect collection, 15 out of 25 are butterflies. Which is not a way to express 15 out of 25?

3/5

0.6

60%

5/3

16.

9 out of 12 students came to the football game. What % attended?

25%

50%

75%

65%

17.

Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?

25%

18%

20%

50%

18.

The Polar Express movie is $13 and it will be on sale for $9. What is the percent of change if the cost decreased $4?

44%

31%

38%

69%

19.

Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?

10.1%

9.1%

11.1%

90.1%

20.

The simple interest formula is I=Prt. The P represents the principle. The principle is ___________________.

the amount of money borrowed or deposited

the percent interest for his year

the amount taxed

the amount the bank owes you for being a customer at their bank

21.

The simple interest formula is I=Prt. What does the t represent?

Principle

Interest

Time

Percent Rate

22.

Emilio has $1200 in his bank account with an 8% simple interest rate. How much interest will he earn at the end of 6 months?

$5760

$576

480

$48

23.

This is how you annotate a percent problem.

Label = Number/percent(convert to decimal)

Principal = $800

Interest Rate = 3.5% = .035

Time = 6 months=6/12 = .50

Find the interest earned.

$168

$140

$14

$16.80

24.

If you are calculating the simple interest and you are given the time in months, how can you find the time in years?

Add 12 to the months

Divide the months by 12

Multiply 12 by the months

Subtract 12 from the months.

25.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that? Remember your time has to be in YEARS!! 6 months is half of a year or .5

$120

$144

$1,200

$1,440

26.

Simplify by combining like terms:
5a + 2b - 3a + 4

8a + 2b + 4

2a + 2b + 4

8ab

4ab + 4

27.

Simplify the following expression:
-9(14p - 8) - 4p

130p - 72

122p - 72

-130p - 18

-130p + 72

28.

n -10 +9n -3=

-3

9n-3

10n -13

29.

Three times the sum of a number and 2.

3e+2

3(e-2)

3(e+2)

2e+3

30.

Translate this sentence into an equation.

72 is the product of 8 and a Steve's height.

Use the variable h to represent Steve's age.

72 = 8 + h

72 = 8h

72 = 8 - h

72 = 8/h

31.

Translate:

Twice a number is smaller than or equal to 42.

$2<42x$

$42\ge2x$

$2x\le42$

$2x\ge42$

32.

When finding the cost of a meal, you have to _____ the amount of the tip to the original amount of the bill.

Divide

Subtract

Multiply

Add

33.

When an item is being discounted, you have to __________ the amount of the discount from the original item amount.

Add

Subtract

Multiply

Divide

34.

A store has a sale for 15% off. You want a jacket that was originally $45. How much will your discount be?

$51.75

$6.75

$38.25

30.00

35.

A store has a sale for 15% off. You want a jacket that was originally $45. How much money will the jacket be on sale?

6.75

51.75

38.75

45.00

36.

A store has a sale for 25% off. You want a sweater that usually cost $30. How much money will you spend on the sweater?

30.00

22.50

7.50

37.50

37.

A store is having a 20% off sale so you decide to buy a $15 shirt. How much money will you save due to the discount?

12.00

18.00

3.00

4.50

38.

A store is having a 20% off sale so you decide to buy a $15 shirt. How much will the shirt cost after the discount?

12.00

18.00

3.00

4.50

39.

Select all equivalent expressions for the given expression: 36x + 24

4(9x + 7)

4(9x + 8)

2(18x + 12)

12(3x + 2)

40.

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

3x+20+2x+4+x

6x+24

6x+8

5x+11

6(x+4)

41.

Withdrawal

Add

Subtract

42.

Deposit

Add

Subtract

43.

I made a deposit of $30. My balance will

increase

decrease

44.

I had a balance of $2,492.13 in my account. I made my car payment. My balance will

increase

decrease

45.

Which equation matches this model?

7x + 3 = 23

2x + 4= 10

3x - 8 = 3

4x + 3 =9

46.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

7=x+3

7=x+(-3)

7=-x+3

-7=x-3

47.

What operation do these terms mean?

per

each

every

product

addition

subtraction

multiplication

division

48.

You flip an inequality symbol when you...

subtract

multiply and divide only

multiple by a negative number

multiple or divide by a negative number

49.

You find a tax, tip, & discount using the same calculations; then you add the tax & tip to and subtract the discount from the subtotal. How do you find a TTD?

Add the percent(converted to a decimal) and subtotal.

Subtract the percent(converted to a decimal) and subtotal.

Multiply the percent(converted to a decimal) and subtotal.

Divide the percent(converted to a decimal) and subtotal.

50.

Determine the error in this problem.

Check all the mistakes

Should have subtracted 4

Should have added 2

Forgot to bring down the negative with 2x

2 divided by 2 is NOT 6

Reset

13.5 Review-Final

Total questions: 50

Worksheet time: 2hrs 14mins

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