# Mathematics

Week One Homework Assignment

Name:____________________________________________ Date: _________________

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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Perform the indicated operations.
1) (- (7/6) – (1/3)) – (- (1/3)) 1) _______

A) -7 B) – (7/3) C) – (7/6) D) (7/6)

Perform the indicated operation. Round to the nearest hundredth, if necessary.
2) (-3.7)(-9.23) 2) _______
A) 3.4151 B) 0.34151 C) 341.51 D) 34.151

Use the order of operations to simplify the expression.
3) 27 + 42(17) – (-21) 3) _______
A) 752 B) 74 C) 320 D) 69

Provide an appropriate response.
4) Which property justifies the statement?
(3 + 8) + 7 = (8 + 3) + 7 4) _______

A) Distributive property B) Inverse property
C) Commutative property D) Associative property

Find the square root. If the number is not real, say so.
5) -square root of (225) 5) _______
A) 30 B) 15
C) Not a real number D) -15

Solve the equation.
6) 42s + 20 = 12s 6) _______
A) {- (2/3)} B) {(2/3)} C) {(3/2)} D) {(10/27)}

7) 9x + 2(2x – 2) = 18 – 9x 7) _______
A) {1} B) {(7/11)} C) {-1} D) {(7/2)}

8) (2x/5) – (x/3) = 3 8) _______

A) {90} B) {45} C) {-90} D) {-45}

9) 0.08x + 0.13(x + 1800) = 360 9) _______
A) {60,000} B) {6000} C) {600} D) {60}

Provide an appropriate response.
10) 2x – 5 = 5 + 7x – 3
Is this a linear equation? 10) ______

A) Yes B) No

Solve the problem.
11) Find the corresponding Fahrenheit temperature for a temperature of 51°C. Round to the nearest tenth, if necessary. 11) ______

A) 46.1°F B) 123.8°F C) 149.4°F D) 10.6°F

12) Jay drove 256 km at an average rate of 64 km/hr. How long did the trip take? 12) ______
A) 3 hr B) 5 hr C) 4 hr D) (1/4) hr

13) A circle has a circumference of 30π m. Find the radius of the circle. 13) ______
A) 5 m B) 15 m C) 8 m D) 30 m

14) The formula A = (2400f/b(p + 1)) gives the approximate annual interest rate for
a consumer loan paid off with monthly payments, where f is the finance charge on the loan,
p is the number of payments, and b is the original amount of the loan. Find the approximate
annual interest rate for an automobile loan to be repaid in 24 monthly installments if the
finance charge on the loan is \$557 and the original loan balance is \$3590.(Round your answer
to two decimal places, if necessary.) 14) ______

A) 15.51% B) 13.59% C) 14.89% D) 16.19%

15) Gloria collected 23 fantail and comet goldfish. There were 11 fewer fantails than comets.
How many comets did Gloria have? 15) ______

A) 17 comets B) 12 comets C) 6 comets D) 14 comets

Solve the investment problem.
16) Mardi received an inheritance of \$40,000. She invested part at 12% and deposited the
remainder in tax-free bonds at 7%. Her total annual income from the investments was \$4300.
Find the amount invested at 12%. 16) ______

A) \$35,700 B) \$30,000 C) \$15,000 D) \$29,000

Solve the problem.
17) What amount of money is found in a coin purse containing 21 dimes and 15 quarters? 17) ______
A) \$0.36 B) \$585.00 C) \$5.85 D) \$6.75

18) Bert is 27.5 kilometers away from Brenda. Both begin to walk toward each other at the same time.
Bert walks at 3.5 kilometers per hour. They meet in 5 hours. How fast is Brenda walking? 18) ______

A) 3 kilometers per hour B) 3.5 kilometers per hour
C) 2 kilometers per hour D) 4 kilometers per hour

19) A plane flies 500 miles with the wind and 300 miles against the wind in the same length of time.
If the speed of the wind is 23 mph, what is the speed of the plane in still air? 19) ______

A) 82 mph B) 117 mph C) 97 mph D) 92 mph

20) Find the measures of the supplementary angles.
graphic(Angles-Complement/Supplement:I2375.BMP – ) 20) ______

A) 43°, 47° B) 47°, 43° C) 133°, 47° D) 137°, 43°

21) Find the measure of each angle in the triangle.
graphic(Angles-Acute/Obtuse/Right:I2377.BMP – ) 21) ______

A) 34°, 125°, 21° B) 28°, 128°, 24° C) 34°, 35°, 21° D) 38°, 123°, 19°

Name the quadrant, if any, in which the point is located.
22) (7, 17) 22) ______
A) III B) None C) II D) I

Provide an appropriate response.
23) Determine the quadrants in which the given point (x, y) may lie when xy > 0. 23) ______
A) II or IV B) I or III C) I or II D) II or III

Complete the table for the equation.
24) y = -x + 3

two way table ( ( x y )(-3 )(3 )(0 ) ) 24) ______

A) -5; 0; 3 B) -5; 6; 3 C) 6; 0; 3 D) 6; 0; 0

Find the x- and y-intercepts. Then graph the equation.
25) 2x – 4y = 8
graphic(Plot – ) 25) ______

A) (-4, 0); (0, 2)
graphic(Plot – ) B) (4, 0); (0, -2)
graphic(Plot – )

C) (-2, 0); (0, 4)
graphic(Plot – ) D) (2, 0); (0, -4)
graphic(Plot – )