Question 1

Solve.
-An airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 1 hours. Find the rate of the wind.

Accepted Answer

A) 480 mph 
B) 320 mph 
C) 160 mph 
D) 800 mph 
A) 480 mph 
B) 320 mph 
C) 160 mph 
D) 800 mph B

Question 2

Solve by the substitution method.
-x + y = 6 8x + 8y = 48

Accepted Answer

A) (6, 8) 
B) (0, 0) 
C) Infinite number of solutions 
D) (1, 5) 
A) (6, 8) 
B) (0, 0) 
C) Infinite number of solutions 
D) (1, 5) C

Question 3

Choose the ordered pair which is a solution of the inequality.
-

Accepted Answer

A) (-1, 0) 
B) (0, -1) 
C) (1, -1) 
D) (-2, 1) 
A) (-1, 0) 
B) (0, -1) 
C) (1, -1) 
D) (-2, 1) C

Question 4

Solve graphically.
-

Accepted Answer

A) No solution 
B) (1.5, -1) 
C) (-1.5, -1) 
D) (1, 1) 
A) No solution 
B) (1.5, -1) 
C) (-1.5, -1) 
D) (1, 1)

Question 5

Solve.
-The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal and Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

Accepted Answer

A) Art, Ben, and Cal 
B) Ben 
C) Art and Ben 
D) Art 
A) Art, Ben, and Cal 
B) Ben 
C) Art and Ben 
D) Art

Question 6

Graph the inequality on a plane.
-

Accepted Answer

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

Question 7

Solve.
-The sum of a student's three scores is 208. If the first is 11 points more than the second, and the sum of the first two is 19 more than twice the third, what was the first score?

Accepted Answer

A) 63 
B) 67 
C) 52 
D) 78 
A) 63 
B) 67 
C) 52 
D) 78

Question 8

Solve graphically.
-

Accepted Answer

A) No solution 
B) (1, 1) 
C) (1, 5) 
D) Infinite number of solutions 
A) No solution 
B) (1, 1) 
C) (1, 5) 
D) Infinite number of solutions

Question 9

Classify the system as consistent or inconsistent, and dependent or independent.
-

Accepted Answer

A) Consistent and dependent 
B) Inconsistent and dependent 
C) Consistent and independent 
D) Inconsistent and independent 
A) Consistent and dependent 
B) Inconsistent and dependent 
C) Consistent and independent 
D) Inconsistent and independent

Question 10

Graph the inequality on a plane.
-

Accepted Answer

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

Question 11

Solve.
-Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 7 miles per hour, and Delvis is traveling at the speed of 5 miles per hour. In 5 hours what is the distance between them?

Accepted Answer

A) 11 miles 
B) 19 miles 
C) 10 miles 
D) 7 miles 
A) 11 miles 
B) 19 miles 
C) 10 miles 
D) 7 miles

Question 12

Solve the system of equations by the elimination method.
-x + 9y = -42 3x + 8y = -50

Accepted Answer

A) (-7, -3) 
B) (6, -3) 
C) no solution 
D) (-6, -4) 
A) (-7, -3) 
B) (6, -3) 
C) no solution 
D) (-6, -4)

Question 13

Solve using the elimination method.
-4 x - y = 20 3x + y = 22

Accepted Answer

A) No solution 
B) (6, 5) 
C) (4, 6) 
D) (6, 4) 
A) No solution 
B) (6, 5) 
C) (4, 6) 
D) (6, 4)

Question 14

Solve.
-x - y + 2z = -7 2x + z = -5
X + 5y + z = -20

Accepted Answer

A) (-5, 0, -3) 
B) (0, -3, -5) 
C) No solution 
D) (-5, -3, 0) 
A) (-5, 0, -3) 
B) (0, -3, -5) 
C) No solution 
D) (-5, -3, 0)

Question 15

Choose the ordered pair which is a solution of the inequality.
-

Accepted Answer

A) (-1, 1) 
B) (1, 1) 
C) (1, -1) 
D)    
A) (-1, 1) 
B) (1, 1) 
C) (1, -1) 
D)

Question 16

Solve the problem.
-The perimeter of a triangle is 48 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each leg were shortened by 6 cm, it would be equilateral. Find the base of the original triangle.

Accepted Answer

A) 8 cm 
B) 20 cm 
C) 14 cm 
D) 7 cm 
A) 8 cm 
B) 20 cm 
C) 14 cm 
D) 7 cm

Question 17

Solve.
-x + 5y + 2z = 1 3y + 4z = -2
Z = -2

Accepted Answer

A) (-2, 2, -5) 
B) (-5, 2, -2) 
C) (-5, -2, 2) 
D) No solution 
A) (-2, 2, -5) 
B) (-5, 2, -2) 
C) (-5, -2, 2) 
D) No solution

Question 18

Solve the problem.
-Two angles have a sum of 108°. Their difference is 6°. Find the angles.

Accepted Answer

A) 53° and 59° 
B) 103° and 5° 
C) 55° and 53° 
D) 57° and 51° 
A) 53° and 59° 
B) 103° and 5° 
C) 55° and 53° 
D) 57° and 51°

Question 19

Classify the system as consistent or inconsistent, and dependent or independent.
-x + y = -7 x - y = 5

Accepted Answer

A) Consistent and dependent 
B) Inconsistent and independent 
C) Consistent and independent 
D) Inconsistent and dependent 
A) Consistent and dependent 
B) Inconsistent and independent 
C) Consistent and independent 
D) Inconsistent and dependent

Question 20

Solve the problem.
-Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 9%. He made a total of $420 in interest. How much was invested at 9%?

Accepted Answer

A) $4000 
B) $2500 
C) $3000 
D) $1000 
A) $4000 
B) $2500 
C) $3000 
D) $1000

Solve. -An airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 1 hours. Find the rate of the wind.

Solve by the substitution method. -x + y = 6 8x + 8y = 48

Choose the ordered pair which is a solution of the inequality. -

Solve graphically. -

Solve. -The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal and Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

Graph the inequality on a plane. -

Solve. -The sum of a student's three scores is 208. If the first is 11 points more than the second, and the sum of the first two is 19 more than twice the third, what was the first score?

Solve graphically. -

Classify the system as consistent or inconsistent, and dependent or independent. -

Graph the inequality on a plane. -

Solve. -Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 7 miles per hour, and Delvis is traveling at the speed of 5 miles per hour. In 5 hours what is the distance between them?

Solve the system of equations by the elimination method. -x + 9y = -42 3x + 8y = -50

Solve using the elimination method. -4 x - y = 20 3x + y = 22

Solve. -x - y + 2z = -7 2x + z = -5 X + 5y + z = -20

Choose the ordered pair which is a solution of the inequality. -

Solve the problem. -The perimeter of a triangle is 48 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each leg were shortened by 6 cm, it would be equilateral. Find the base of the original triangle.

Solve. -x + 5y + 2z = 1 3y + 4z = -2 Z = -2

Solve the problem. -Two angles have a sum of 108°. Their difference is 6°. Find the angles.

Classify the system as consistent or inconsistent, and dependent or independent. -x + y = -7 x - y = 5

Solve the problem. -Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 9%. He made a total of $420 in interest. How much was invested at 9%?

Solving Linear Equations and Inequalities

Graphs, Functions, and Applications

Polynomials and Polynomial Functions

Rational Expressions, Equations, and Functions

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Conic Sections

Filters

Exam 3: Systems of Equations

Solve. -An airplane travels 800 miles against the wind in 5 hours, and makes the return trip with the same wind in 1 hours. Find the rate of the wind.

Solve by the substitution method. -x + y = 6 8x + 8y = 48

Choose the ordered pair which is a solution of the inequality. -

Solve graphically. -

Solve. -The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal and Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

Graph the inequality on a plane. -

Solve. -The sum of a student's three scores is 208. If the first is 11 points more than the second, and the sum of the first two is 19 more than twice the third, what was the first score?

Solve graphically. -

Classify the system as consistent or inconsistent, and dependent or independent. -

Graph the inequality on a plane. -

Solve. -Candy and Delvis are riding bicycles in the same direction. Candy is traveling at the speed of 7 miles per hour, and Delvis is traveling at the speed of 5 miles per hour. In 5 hours what is the distance between them?

Solve the system of equations by the elimination method. -x + 9y = -42 3x + 8y = -50

Solve using the elimination method. -4 x - y = 20 3x + y = 22

Solve. -x - y + 2z = -7 2x + z = -5 X + 5y + z = -20

Choose the ordered pair which is a solution of the inequality. -

Solve the problem. -The perimeter of a triangle is 48 cm. The triangle is isosceles now, but if its base were lengthened by 6 cm and each leg were shortened by 6 cm, it would be equilateral. Find the base of the original triangle.

Solve. -x + 5y + 2z = 1 3y + 4z = -2 Z = -2

Solve the problem. -Two angles have a sum of 108°. Their difference is 6°. Find the angles.

Classify the system as consistent or inconsistent, and dependent or independent. -x + y = -7 x - y = 5

Solve the problem. -Walt made an extra $5000 last year from a part-time job. He invested part of the money at 6% and the rest at 9%. He made a total of $420 in interest. How much was invested at 9%?

Solving Linear Equations and Inequalities

Graphs, Functions, and Applications

Polynomials and Polynomial Functions

Rational Expressions, Equations, and Functions

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Conic Sections

Filters