Question 1

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-D = rt; t = 7, d = 49

Accepted Answer

A)  42 
B)  0.1 
C)  7 
D)  56

Question 2

Solve the equation.
-0.05y + 0.09( 700 - y) = 0.21y

Accepted Answer

A)  15.75 
B)  252 
C)  157.5 
D)  504

Question 3

Choose the one alternative that best completes the statement or answers the question. Solve the problem.
-The sum of three consecutive odd integers is 183. Find the integers.

Accepted Answer

A)  61, 63, 65 
B)  59, 61, 63 
C)  63, 65, 67 
D)  54, 55, 56

Question 4

Find the best buy and give the unit price.
-Brand A 42 oz for $ 14.28
Brand B 36 oz for $ 11.52

Accepted Answer

A)  Brand A, $0. 32 
B)  Equal value 
C)  Brand A, $0. 34 
D)  Brand B, $0. 32

Question 5

Solve the problem.
-Use the Consumer Price Index figures in the table below to find the amount that would be charged in 1997 for the same amount of groceries that cost $ 167.10 in 1995. Give your answer to the nearest dollar.

Accepted Answer

A)  $ 176 
B)  $ 139 
C)  $ 178 
D)  $ 159

Question 6

Write an inequality involving the variable x that describes the set of numbers graphed.
-

Accepted Answer

A)  x  6

Question 7

Solve the problem.
-Walt made an extra $ 10,000 last year from a part-time job. He invested part of the money at 3% and the rest at 4%. He made a total of $ 340 in interest. How much was invested at 4%?

Accepted Answer

A)  $ 4000 
B)  $ 6000 
C)  $ 8000 
D)  $ 5000

Question 8

Solve the problem.
-Sue drove her car 254 miles in January, 358 miles in February, and 459 miles in March. If her average mileage for the four months from January to April is to be at least 385 miles, how many miles must she drive in April?

Accepted Answer

A)  at least 469 miles 
B)  at most 469 miles 
C)  at least 364 miles 
D)  at most 385 miles

Question 9

Multiply by powers of 10.
-50.655 × 100

Accepted Answer

A)  150.655 
B)  50,655 
C)  5065.5 
D)  50.65500

Question 10

Solve the problem.
-The sum of twice a number and 14 less than the number is the same as the difference between -6 and the number. What is the number?

Accepted Answer

A)  3 
B)  4 
C)  2 
D)  1

Question 11

Choose the one alternative that best completes the statement or answers the question Solve the equation.
--0.5 + x = 17.2

Accepted Answer

A)  17.2 
B)  16.2 
C)  17.7 
D)  16.7

Question 12

Solve the problem.
-A church steeple casts a shadow 104 ft long, and at the same time a 8.0-ft post cast a shadow 6.0 ft long. How high is the steeple? Round to the nearest unit.

Accepted Answer

A)  78 ft 
B)  139 ft 
C)  108 ft 
D)  8 ft

Question 13

Write the answer to the problem as an algebraic expression.
-A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank hold?

Accepted Answer

A)  4 G quarts 
B)   quarts 
C)   quarts 
D)  G + 4 quarts

Question 14

Choose the one alternative that best completes the statement or answers the question Solve the equation.
--9c + 4 + 7c = -3c + 9

Accepted Answer

A)  -9 
B)  9 
C)  5 
D)  -4

Question 15

Write the answer to the problem as an algebraic expression.
-Susan has 10 cats. She gave p to her lonely aunt. How many does she have left?

Accepted Answer

A)  p - 10 cats 
B)  10 - p cats 
C)  10 + p cats 
D)  p + 10 cats

Question 16

Solve the equation.
--2(x + 4) = -( 2x + 8)

Accepted Answer

A)  {all real numbers} 
B)  { 4} 
C)   
D)  {0}

Question 17

Write the answer to the problem as an algebraic expression.
-Elizabeth earned 15 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks?

Accepted Answer

A)  15 + x dollars 
B)  75 x dollars 
C)  15 x dollars 
D)  75 + x

Question 18

Solve the equation.
- x - 5 = -  x

Accepted Answer

A)  {-7} 
B)  { 7} 
C)  {-5} 
D)  { 5}

Question 19

Solve the equation.
- =

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Provide an appropriate response.
-Write the steps you would use to solve this equation: 7(x - 1) + 4x = -5x.

Accepted Answer

The answer of Provide an appropriate response.
-Write the steps you...

Exam 3: Linear Equations and Inequalities in Two Variables; Functions

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -D = rt; t = 7, d = 49

Solve the equation. -0.05y + 0.09( 700 - y) = 0.21y

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of three consecutive odd integers is 183. Find the integers.

Find the best buy and give the unit price. -Brand A 42 oz for $ 14.28 Brand B 36 oz for $ 11.52

Solve the problem. -Use the Consumer Price Index figures in the table below to find the amount that would be charged in 1997 for the same amount of groceries that cost $ 167.10 in 1995. Give your answer to the nearest dollar.

Write an inequality involving the variable x that describes the set of numbers graphed. - $Write an inequality involving the variable x that describes the set of numbers graphed. - A) x < 6 B) x \ge 6 C) x \le 6 D) x > 6$

Solve the problem. -Walt made an extra $ 10,000 last year from a part-time job. He invested part of the money at 3% and the rest at 4%. He made a total of $ 340 in interest. How much was invested at 4%?

Solve the problem. -Sue drove her car 254 miles in January, 358 miles in February, and 459 miles in March. If her average mileage for the four months from January to April is to be at least 385 miles, how many miles must she drive in April?

Multiply by powers of 10. -50.655 × 100

Solve the problem. -The sum of twice a number and 14 less than the number is the same as the difference between -6 and the number. What is the number?

Choose the one alternative that best completes the statement or answers the question Solve the equation. --0.5 + x = 17.2

Solve the problem. -A church steeple casts a shadow 104 ft long, and at the same time a 8.0-ft post cast a shadow 6.0 ft long. How high is the steeple? Round to the nearest unit.

Write the answer to the problem as an algebraic expression. -A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank hold?

Choose the one alternative that best completes the statement or answers the question Solve the equation. --9c + 4 + 7c = -3c + 9

Write the answer to the problem as an algebraic expression. -Susan has 10 cats. She gave p to her lonely aunt. How many does she have left?

Solve the equation. --2(x + 4) = -( 2x + 8)

Write the answer to the problem as an algebraic expression. -Elizabeth earned 15 dollars a day at her job. Assuming a 5-day work week, how much did she earn in x weeks?

Solve the equation. - x - 5 = - x

Solve the equation. - =

Provide an appropriate response. -Write the steps you would use to solve this equation: 7(x - 1) + 4x = -5x.