Question 1

Solve the equation. First simplify the expression by combining like terms.
-5(y + 3) = 6(y - 5)

Accepted Answer

A)  { 45} 
B)  { -15} 
C)  { -45} 
D)  { 15} 
A)  { 45} 
B)  { -15} 
C)  { -45} 
D)  { 15}

Question 2

Solve the problem.
-At the end of the day, a storekeeper had $ 1272 in the cash register, counting both the sale of goods and the sales tax of 6%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Accepted Answer

A)  $ 76 
B)  $ 72 
C)  $ 77 
D)  $ 63 
A)  $ 76 
B)  $ 72 
C)  $ 77 
D)  $ 63

Question 3

Provide an appropriate response.
-Which one of the following ratios is not the same as .75?

Accepted Answer

A)  3 to 4 
B)  8 to 6 
C)  .750 
D)  75 to 100 
A)  3 to 4 
B)  8 to 6 
C)  .750 
D)  75 to 100

Question 4

Provide an appropriate response.
-While solving an equation, why can't you multiply both sides of the equation by zero?

Accepted Answer

Answers will vary. If each sid

Question 5

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

Accepted Answer

A) x > -4 B) x $\le$ -4 C) x < -4 D) x $\ge$ -4 A) x > -4 B) x $\le$ -4 C) x < -4 D) x $\ge$ -4

Question 6

Solve the problem.
-In a sample of 78 widgets, 8 were defective. How many defective widgets would you expect in a sample of 390 widgets?

Accepted Answer

A)  43 widgets 
B)  40 widgets 
C)  38 widgets 
D)  86 widgets 
A)  43 widgets 
B)  40 widgets 
C)  38 widgets 
D)  86 widgets

Question 7

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side.
--x = -1.00; multiplied

Accepted Answer

A)  -1.00 
B)  - 1 
C)  -1 
D)  --1.00 
A)  -1.00 
B)  - 1 
C)  -1 
D)  --1.00

Question 8

Write each inequality in interval notation and graph the interval on a number line.
-X $\le$4

Accepted Answer

A)  (-$\infty$, 4)
  
B)  ( 4, $\infty$)
  
C)  (-$\infty$, 4]
  
D)  [ 4, $\infty$)
  
A)  (-$\infty$, 4)
  
B)  ( 4, $\infty$)
  
C)  (-$\infty$, 4]
  
D)  [ 4, $\infty$)

Question 9

Use a formula to solve the problem
-A baking pan measures 12 inches long, 5 inches wide, and 2 inches deep. What is the volume of the pan.

Accepted Answer

A)  34 cubic inches 
B)  19 cubic inches 
C)  60 cubic inches 
D)  120 cubic inches 
A)  34 cubic inches 
B)  19 cubic inches 
C)  60 cubic inches 
D)  120 cubic inches

Question 10

Solve the problem.
-A triangle drawn on a map has sides of lengths 9.0 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 129 km. Find the longest of the real-life distances. Round to the nearest unit.

Accepted Answer

A)  201 km 
B)  83 km 
C)  158 km 
D)  164 km 
A)  201 km 
B)  83 km 
C)  158 km 
D)  164 km

Question 11

Solve the equation.
-

Accepted Answer

A)  85 
B)  84 
C)  -83 
D)  -82 
A)  85 
B)  84 
C)  -83 
D)  -82

Question 12

Express the phrase as a ratio in lowest terms.
-120 cm to 75 cm

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Solve the equation.
-0.04y + 0.10( 800 - y) = 0.44y

Accepted Answer

A)  { 40} 
B)  { 400} 
C)  { 160} 
D)  { 320} 
A)  { 40} 
B)  { 400} 
C)  { 160} 
D)  { 320}

Question 14

Write each inequality in interval notation and graph the interval on a number line.
-X $\ge$ -7

Accepted Answer

A)  (-$\infty$, -7]
  
B)  [ -7, $\infty$)
  
C)  (-$\infty$, -7)
  
D)  ( -7,$\infty$)
  
A)  (-$\infty$, -7]
  
B)  [ -7, $\infty$)
  
C)  (-$\infty$, -7)
  
D)  ( -7,$\infty$)

Question 15

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.
-P = 2L + 2W; L = 7, W = 7

Accepted Answer

A)  14 
B)  21 
C)  28 
D)  98 
A)  14 
B)  21 
C)  28 
D)  98

Question 16

Solve the problem.
-A tree casts a shadow 38 m long. At the same time, the shadow cast by a 42-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Accepted Answer

A)  50 m 
B)  51 m 
C)  28 m 
D)  29 m 
A)  50 m 
B)  51 m 
C)  28 m 
D)  29 m

Question 17

Solve the equation.
-  x - 7 =   x + 8

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Express the phrase as a ratio in lowest terms.
-9 yd to 8 ft

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Solve the equation.
--   m =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Translate the statement into an inequality. Use x as the variable.
-You must be at least 49 inches tall to ride this roller coaster.

Accepted Answer

A) x $\ge$49 B) x > 49 C) x $\le$ 49 D) x < 49 A) x $\ge$49 B) x > 49 C) x $\le$ 49 D) x < 49

Solve the equation. First simplify the expression by combining like terms. -5(y + 3) = 6(y - 5)

Solve the problem. -At the end of the day, a storekeeper had $ 1272 in the cash register, counting both the sale of goods and the sales tax of 6%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Provide an appropriate response. -Which one of the following ratios is not the same as .75?

Provide an appropriate response. -While solving an equation, why can't you multiply both sides of the equation by zero?

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

Solve the problem. -In a sample of 78 widgets, 8 were defective. How many defective widgets would you expect in a sample of 390 widgets?

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side. --x = -1.00; multiplied

Write each inequality in interval notation and graph the interval on a number line. -X $\le$ 4 $Write each inequality in interval notation and graph the interval on a number line. -X \le 4$

Use a formula to solve the problem -A baking pan measures 12 inches long, 5 inches wide, and 2 inches deep. What is the volume of the pan.

Solve the problem. -A triangle drawn on a map has sides of lengths 9.0 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 129 km. Find the longest of the real-life distances. Round to the nearest unit.

Solve the equation. -

Express the phrase as a ratio in lowest terms. -120 cm to 75 cm

Solve the equation. -0.04y + 0.10( 800 - y) = 0.44y

Write each inequality in interval notation and graph the interval on a number line. -X $\ge$ -7 $Write each inequality in interval notation and graph the interval on a number line. -X \ge -7$

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. -P = 2L + 2W; L = 7, W = 7

Solve the problem. -A tree casts a shadow 38 m long. At the same time, the shadow cast by a 42-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Solve the equation. - x - 7 = x + 8

Express the phrase as a ratio in lowest terms. -9 yd to 8 ft

Solve the equation. -- m =

Translate the statement into an inequality. Use x as the variable. -You must be at least 49 inches tall to ride this roller coaster.

The Real Number System

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

Filters

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

Solve the equation. First simplify the expression by combining like terms. -5(y + 3) = 6(y - 5)

Solve the problem. -At the end of the day, a storekeeper had $ 1272 in the cash register, counting both the sale of goods and the sales tax of 6%. Find the amount that is the tax. Round to the nearest dollar if necessary.

Provide an appropriate response. -Which one of the following ratios is not the same as .75?

Provide an appropriate response. -While solving an equation, why can't you multiply both sides of the equation by zero?

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

Solve the problem. -In a sample of 78 widgets, 8 were defective. How many defective widgets would you expect in a sample of 390 widgets?

Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x on the left side. --x = -1.00; multiplied

Write each inequality in interval notation and graph the interval on a number line. -X ≤\le≤ 4

Use a formula to solve the problem -A baking pan measures 12 inches long, 5 inches wide, and 2 inches deep. What is the volume of the pan.

Solve the problem. -A triangle drawn on a map has sides of lengths 9.0 cm, 11 cm, and 14 cm. The shortest of the corresponding real-life distances is 129 km. Find the longest of the real-life distances. Round to the nearest unit.

Solve the equation. -

Express the phrase as a ratio in lowest terms. -120 cm to 75 cm

Solve the equation. -0.04y + 0.10( 800 - y) = 0.44y

Write each inequality in interval notation and graph the interval on a number line. -X ≥\ge≥ -7

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. -P = 2L + 2W; L = 7, W = 7

Solve the problem. -A tree casts a shadow 38 m long. At the same time, the shadow cast by a 42-cm tall statue is 56 cm long. Find the height of the tree. Round results to the nearest unit.

Solve the equation. - x - 7 = x + 8

Express the phrase as a ratio in lowest terms. -9 yd to 8 ft

Solve the equation. -- m =

Translate the statement into an inequality. Use x as the variable. -You must be at least 49 inches tall to ride this roller coaster.

The Real Number System

Linear Equations and Inequalities in One Variable

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Preparing for Your Math Final

Filters

Write each inequality in interval notation and graph the interval on a number line. -X $\le$ 4 $Write each inequality in interval notation and graph the interval on a number line. -X \le 4$

Write each inequality in interval notation and graph the interval on a number line. -X $\ge$ -7 $Write each inequality in interval notation and graph the interval on a number line. -X \ge -7$