Road to the State Exam

Journey through Equations

100

Solve for a. 

12a+4=80

a=7

200

Solve for x.

10+5x=75

x=7

300

Solve for x.

0.5x + 78.2 = 287

a) x = 104.4

b) x = 417.6

c) = 495.8

d) x = 730.4

c) 8p(4 + 7m)

d) 8m (4 + 7p)

b) x = 417.6

400

Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts.

The total charge was $320. Which equation can be used to determine how much the electrician charged per hour?

a) 5x = 320 + 70

b) 5x = 320 - 70

c) (70 + 5)x = 320

d) (70- 5)2 = 320

b) 5x = 320 - 70

500

The width of a rectangle is 6 2/3 inches. The length of the rectangle is twice its width.

What is the perimeter of the rectangle?

a) 20 inches

b) 40 inches

c) 30 2/3 inches

d） 88  8/9  inche

b) 40 inches

What the Inequality

100

Identify the following inequality signs

a) <

b) >

c) ≤

d) ≥

a) less than

b) greater than

c) less than or equal to 

d) greater than or equal to 

200

Solve the following inequality

5x+15>100

x is greater than 17

x>17

300

Solve the inequality below

3x -5≥47

x≥14

400

Identifying the inequality sign using the phrases below

a) at least (Hint: Minimum)

b) at most (Hint: Maximum)

a) ≥ greater than or equal to 

b) ≤ less than or equal to 

500

Chef Taylor needs at least 80 cupcakes to complete an order for a birthday party. She already made 23 cupcakes. Chef Taylor and her two baking assistants will make the remaining cupcakes today. Each person bakes the same amount of cupcakes. 

3c+23 ≥ 80

b) Solve for c

b) c ≥ 19

Percents

100

Leo bought a used car for a dollars. One year later the value of the car was 0.88x.

Which expression is another way to describe the change in the value of the car?

a) 0.12% decrease

b) 0.88% decrease

c) 12% decrease

d) 88% decrease

c) 12% decrease

200

Charis invested $140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two vears?

a) $4.20

b) $6.00

c) $8.40

d) $12.60

c) $8.40

300

Answer this question for double points! 

Each sales associate at an electronics store has a choice of the two salary options shown below.

• $115 per week plus 9.5% commission on the associate's total sales
• $450 per week with no commission

The average of the total sales amount for each associate last year was $125,000.

Based on this average, what is the difference between the two salary options each

year? (52 weeks = 1 year)

a) $4,262.11

*b) $5,545.00

c)$10,956.90

d) $11,525.00

b) $5,545.00

400

Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $400.00.

• On Saturday, the store will have a sale and discount the computer by 30%.
• Shoppers who buy a computer that same Saturday before 9:00 amwill also receive an additional 10% off the sale price.

How much will Lea pay, without tax, when she buys the computer that Saturday before 9:00 am?

a) $148.00

b) $160.00

c) $240.00

d) $252.00

d) $252.00

500

Last year 950 people attended a town's annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?

a) 37.5%

b) 57%

c)60%

d) 62.5%

D) 60%

Combining Like Terms

100

Which expression is equivalent to 8c+6-3c-2 ?

a) 5c+4  b) 5c+8   c) 11c+4  d) 11c+8

a) 5c+4

200

Which expression represents the sum of 

(2x - 5y) and (x + y)?

a) 3x - 4y

b) 3x - 6у

c) x - 4y

d) x - 6y

Which expression is equivalent to n+n-0.18n ?

a) 1.18n   b) 1.82n  c) n-0.18  d) 2n-0.82n

a) 3x - 4y

300

Which expression is equivalent to (7x - 5) - (3x - 2)?

a) 10x-7

b) 10x-3

c) 4x - 7

d) 4x - 3

d) 4x - 3

400

Which expression is equivalent to

 4.8 + 2.2w - 1.4w + 2.4?

a) 0.4(6 + 2w)

b) 0.8(9 + W)

c) 1.6(3 + 2w)

d) 3.6(2 + ∞)

b) 0.8(9 + W)

500

Combine Like Terms

3(2+5x)-4(3+3x)

27x-6

RANDOM

100

Yesterday, the temperature at noon was 11.4°F. By midnight, the temperature had decreased by 15.7 degrees. What was the temperature at midnight?

a)14.3°F

b) - 11.4°F

c) - 15.7°F

d) - 27.1°F

a)14.3°F

200

Last week Rachel power walked 2 3/5 miles per day on each of the 7 days. During the same week, she also jogged 5 3/4 miles per day on 4 days. What was the total number of miles Rachel power walked and jogged last week?

41 1/5 miles

300

a) Mode is the number that appears the _____.

b) What is the mode in the data set below?

19, 22, 19, 0, 27, 22, 25, 25, 19

a) most

b) 19

400

Three classes at a junior high school raised money to buy new computers.

• Ms. Moore's class raised $249.00.
• Ms. Aguilar's class raised $396.62 more than Ms. Moore's class.
• Mr. Barry's class raised $430.43 less than Ms. Aguilar's class.

What is the total amount of money raised by all three classes?

 a) $215.19

b) $464.19

c)$1,076.05

d) $1,109.817

d) $1,109.817

500

Mr. Williams has $500.00 to spend at a bicycle store. All prices listed below include tax.

• He buys a new bicycle for $273.98.
• He buys 3 bicycle reflectors for $7.23 each and 1 bicycle helmet for $42.36.
• He plans to use the remaining money to buy new cycling outfits for $78.12
  each.

What is the greatest number of cycling outfits that Mr. Williams can buy with the remaining money?