# Math Assesment

Fractions, decimals, and percents

1. Write 4.035 as an equivalent percent (%).

A. 403.5%

B. 40.35%

C. 4.035%

D. 0.4035%

2. Convert 0.00375% to an equivalent decimal.

A. 0.000375

B. 3.75

C. 0.0000375

D. 0.375

3. Write 2.35% as an equivalent fraction. (Make sure fraction is reduced to lowest terms.)

A. 27100

B. 472,000

C. 47200

D. 472,000

4. Convert the fraction 1574 to an equivalent percent (%).

A. 0.2027%

B. 0.001574%

C. 0.20%

D. 20.27%

5. Convert 3.414 to an equivalent percent (%).

A. 34.14%

B. 0.03414%

C. 341.4%

D. 3.414%

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6. Simplify the expression by using order of operations.

8÷4(12−8)

A. 12

B. 8

C. 64

D. 128

7. Add or subtract as indicated.

−35+14−310

A. −1320

B. 719

C. 1320

D. 5

8. Evaluate.

−62

A. –36

B. –12

C. 12

D. 36

9. Evaluate 3𝑥2+6𝑥+4 for 𝑥=−4.

A. –32

B. –20

C. 4

D. 28

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10. Simplify the expression.

(8𝑦2−6𝑦+6)−(5𝑦2−6𝑦+8)

A. 13𝑦2−12𝑦−2

B. 3𝑦2+12𝑦+14

C. 13𝑦2+14

D. 3𝑦2−2

Word problems

11. Jim purchased 2 pieces of property that had been foreclosed on by a local bank for a total of $330,000. When he sold these properties, on the first piece Jim earned a profit of 12% but on the second piece he lost 8%. His total profit was $18,000. How much did Jim pay for each property?

A. 1st piece: $108,000; 2nd piece: $222,000

B. 1st piece: $132,000; 2nd piece: $198,000

C. 1st piece: $222,000; 2nd piece: $108,000

D. 1st piece: $198,000; 2nd piece: $132,000

12. In April, Dots sold a total of 250 T-shirts and shorts. The total sales were $600. If T-shirts sell for $2 and shorts sell for $4, how many T-shirts and shorts did Dots sell in April?

A. T-Shirts = 100; shorts = 150

B. T-Shirts = 50; shorts = 200

C. T-Shirts = 200; shorts = 50

D. T-Shirts = 150; shorts = 100

13. A particular company produces widgets. Each widget sells for $9, and the variable cost of producing each unit is 40% of the selling price. If the monthly fixed costs incurred by the company are $50,000, what is the break-even point? (Write answer to 2 decimal places.)

A. 8,723.49

B. 9,259.26

C. 3,968.25

D. 5,291.01

14. You want to invest $8,000 over a 60-month period at 312% simple interest. What is the total value of this investment at maturity?

A. $22,000

B. $16,800

C. $9,400

D. $9,680

15. A particular item was discounted by 20%. If the sale price is $55, what was the original price?

A. $66.00

B. $75.00

C. $68.75

D. $75.50

Equations

16. Find the 𝑥- and 𝑦-intercepts for the line given by the equation 2𝑥+3𝑦=12.

A. (6, 0) and (0, 4)

B. (–6, 0) and (0, –4)

C. (4, 0) and (0, 6)

D. (–4, 0) and (0, –6)

17. Use the following information to determine the equation for profit from selling 𝑥 items.

Price = $9.00 per unit; Fixed cost = $24,000; Variable cost = $5.92 per unit A. Profit = 24,000−9.00𝑥

B. Profit = 9.00𝑥−24,000

C. Profit = 3.08𝑥−24,000

D. Profit = 24,000−3.08𝑥

18. Solve the equation.

0.4𝑥−0.7=0.3𝑥+7

A. 𝑥=6.3

B. 𝑥=77

C. 𝑥=11

D. 𝑥=9

19. Solve the formula for 𝑚.

𝑍=(𝑥−𝑚)𝑠

A. 𝑚=𝑥−𝑍𝑠

B. 𝑚=𝑍𝑠−𝑥

C. 𝑚=𝑥+𝑍𝑠

D. 𝑚=𝑍𝑠+𝑥

20. Determine the break-even point in units based on the following information.

Price = $100 per unit; Fixed cost = $160,000; Variable cost = $60 per unit A. 𝑥=100 units

B. 𝑥=400 units

C. 𝑥=1,000 units

D. 𝑥=4,000 units

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