3rd Nine Weeks – GT Benchmark Review

Question 1

Change to a fraction:

%7

125

175

44:answer

Question 2

Find x:

x

x 8

16

28x

Question 3

Find x:

5.2

5

5.0

3

xx 8

5x

Question 4

Find x:

213

2

16

7

x

x11

413x

Question 5

7.5 is 30% of what number?

25

Question 6

21 is what % of 54?

%9

838%8.38 or

Question 7

Which is the better buy:

6 pack of coke 12 pack of cokefor $.99 for $1.99

Explain why: pack6Because if you buy 2 six packs, it costs only $1.98, so you save a penny.

Question 8

Find the percent of change to the nearest tenth of a percent. LABEL your answer increase or decrease.

9 to 15 %3

266,

1009

6

ofIncreaseso

x

Question 9

Find the percent of change to the nearest tenth of a percent. LABEL your answer increase or decrease.

27 to 15%

9

444,

10027

12

ofDecreaseso

x

Question 10

Find the selling price and round to the nearest cent.

Cost $29.95; mark-up rate: 45%

)45.01(95.29 43.43$

Question 11

Find the selling price and round to the nearest cent.

Cost $76.75; mark-up rate: 120%

)20.11(75.7685.168$

Question 12

Find the sale price and round to the nearest cent.

regular price $46.50;

discount 35%

)35.01(50.4623.30$

Question 13

Find the sale price and round to the nearest cent.

regular price $162.20;

discount 75%

)75.01(20.162

55.40$

Question 14

Find the store’s cost and round to the nearest cent.

selling price $43.75; mark-up rate 20%

75.43)20.01( x

46.36$

Question 15

Find the store’s cost and round to the nearest cent.

selling price $85.99; mark-up rate 25%

99.85)25.01( x

79.68$

Question 16Find the total amount you would have to pay for the following costs including sales tax.

Shoes $59.99, Socks $6.99;

6.25% sales tax )0625.01()99.699.59(

17.71$

Question 17

Find the total amount you would have to pay for the following costs including sales tax.

Dress $179.00, Belt $26.75;

8.5% sales tax

)085.01()75.26179( 24.223$

Question 18

Find the final balance for each account. Round your answer to the nearest cent.

$260 at 7.5% simple interest for 9 months.

26075.0075.260 63.274$

Question 19

15202065.1520

Find the final balance for each account. Round your answer to the nearest cent.

$1,520 at 6.5% simple interest for 2 years.

60.717,1$

Question 20Find the final balance for each account. Round your answer to the nearest cent.

$450 at 7% compounded annually for 6 years.

6)07.1(450 33.675$

Question 21

Find the final balance for each account. Round your answer to the nearest cent.

$230 at 5% compounded annually for 3 years.

3)05.1(230 25.266$

Question 22

34)( 2 xxf

_____)5( fFind:

103

Question 23

Find:

43)( xxf

_____)3( f 5

Question 24

For the following equation: Write in the form y = m(x) + b. Find the slope and the y-intercept.

65 yx

1424 yx 72 xy

Question 25

For the following equation: Write in the form y = m(x) + b. Find the slope and the y-

intercept.

2484 yx 32

1 xy

Question 26

Write the equation of the line in slope-intercept form.

)6,0(7

3

intercepty

m

67

3 xy

Question 27

Write the equation of the line in slope-intercept form.

)9,0(5

2

intercepty

m 95

2 xy

Question 28

Write the equation of the line in slope-intercept form.

9

4

)2,3(

m

Qpoint

3

2

9

4 xy

Question 29

2

1

)3,6(

m

Zpoint

Write the equation of the line in slope-intercept form.

xy2

1

Question 30Write the equation of the line in slope-intercept form.

)5,4(

)9,4(

T

E7

2

1 xy

Question 31

Write the equation of the line in slope-intercept form.

)5,2(

)5,2(

IW 5y

Question 32Sue earns $150 base pay per month, plus 25% commission on all sales. What were her sales if she made $1350 in one month?

100

251200

x salesin

x 800,4$

Question 33Sammy earns $250 base pay per week, plus 5% commission on all sales. What would be his total paycheck if he had $2500 in sales this week?

100

5

2500

x

375$

125$

Total

x

Question 34

Louisville Slugger increased its work day from 8h 10 min to 8h 45 min. Find the percent of increase in the length of the work day. Round to the nearest hundredth.

100490

35 x %14.7x

Question 35John has $58.00 to spend on DVDs. DVDs are on sale for 15% off the regular price of $15.99. How many CDs can he buy? 59.1385.99.15

DVDs459.1358

Question 36

Julia has $126.00 to spend on clothes. T-shirts are on sale for 30% off the regular price of $12.99. How many t-shirts can she buy? 09.970.99.12

shirts1309.9126

Question 37A candy store sells lollipops for $1.25 each, and the price drops to $.75 for every lollipop you buy after the fifth one. What is the unit price if you buy twenty lollipops?

50.17)15(75.0)5(25.1 lollipop/88.0$2050.17

Question 38A concession stand sells nachos for $2.00 each, and the price drops to $1.50 for every nacho you buy after the second one. What is the unit price if you buy five nachos ?

50.8)3(50.1)2(00.2 nacho/70.1$550.8

Question 39

Misty made 21 free throws out of 24. Write the number of free throws she missed in the form of a fraction, decimal, AND percent.

;8

1

24

3 ;125.0 %5.12

Question 40Millie missed 5 out of 40 problems on her last test. Write the number of questions she got correct in the form of a fraction, decimal, AND percent.

;8

7

40

35 ;875.0 %5.87

List of topics covered.

Changing fractions to percents to decimals, and vice versa.

Solving proportions with variables.

Percent of a numberFind the better buy.Find the unit price.

List of topics covered, cont…

Percent of increase or decrease. Find the selling price.Find the store’s cost.Find the sale price.Find the total with tax.Find the amount of commission.

List of topics covered, cont…

Calculate simple interest.Calculate compound interest.Functions, finding the value of a

functionLinear equations (slope-intercept

form)