Question 1

Solve using the elimination method.
-x + 9y = -15 2x + 9y = -12

Accepted Answer

A) (4, 3) 
B) No solution 
C) (-3, -3) 
D) (3, -2) 
A) (4, 3) 
B) No solution 
C) (-3, -3) 
D) (3, -2)

Question 2

Solve the problem.
-The perimeter of a rectangle is 60 cm. One side is 12 cm longer than the other side. Find the lengths of the sides.

Accepted Answer

A) 11 cm, 23 cm 
B) 9 cm, 12 cm 
C) 18 cm, 30 cm 
D) 9 cm, 21 cm 
A) 11 cm, 23 cm 
B) 9 cm, 12 cm 
C) 18 cm, 30 cm 
D) 9 cm, 21 cm

Question 3

Solve.
-Jill is 10.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 3 hours. How fast is Joe walking?

Accepted Answer

A) 2 kilometers per hour 
B) 4 kilometers per hour 
C) 1.5 kilometers per hour 
D) 3 kilometers per hour 
A) 2 kilometers per hour 
B) 4 kilometers per hour 
C) 1.5 kilometers per hour 
D) 3 kilometers per hour

Question 4

Solve by the substitution method.
-x - 6y = -6 4x - 5y = -5

Accepted Answer

A) No solution 
B) (-1, 0) 
C) (0, 1) 
D) (1, 0) 
A) No solution 
B) (-1, 0) 
C) (0, 1) 
D) (1, 0)

Question 5

Match the inequality with a graph.
-

Accepted Answer

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

Question 6

Solve the problem using the elimination method.
-Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.

Accepted Answer

A) 105° 
B) 75° 
C) 35° 
D) 145° 
A) 105° 
B) 75° 
C) 35° 
D) 145°

Question 7

Solve by the substitution method.
-x - 4y = -4 7x - 3y = -28

Accepted Answer

A) (-4, 0) 
B) (-3, -4) 
C) (4, -1) 
D) No solution 
A) (-4, 0) 
B) (-3, -4) 
C) (4, -1) 
D) No solution

Question 8

Graph the inequality on a plane.
-

Accepted Answer

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

Question 9

Solve by the substitution method.
-9x - 6y = -72 -2x + 3y = 31

Accepted Answer

A) No solution 
B) (-3, 10) 
C) (-2, 9) 
D) (-2, 10) 
A) No solution 
B) (-3, 10) 
C) (-2, 9) 
D) (-2, 10)

Question 10

Solve.
-A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $7, and balcony for $5. Total for a sell-out is $94,000. If half the courtside and balcony and all endzone seats are sold, the total is $54,000. How
Many of each type are there?

Accepted Answer

A) 4000 courtside 
B) 3000 courtside 
C) 3200 courtside 3000 endzone 2000 endzone 1800 endzone
8000 balcony 10,000 balcony 10,000 balcony 
A) 4000 courtside 
B) 3000 courtside 
C) 3200 courtside 3000 endzone 2000 endzone 1800 endzone
8000 balcony 10,000 balcony 10,000 balcony

Question 11

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

Accepted Answer

A) (2, -2) 
B) (1, -1) 
C) (0, -2) 
D) (3, -1) 
A) (2, -2) 
B) (1, -1) 
C) (0, -2) 
D) (3, -1)

Question 12

Solve.
-Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income
From the 8% investment. Find the amount invested at each rate.

Accepted Answer

A) $10,000 at 5%, $5000 at 6%, $10,000 at 8% 
B) $5000 at 5%, $10,000 at 6%, $10,000 at 8% 
C) $8000 at 5%, $10,000 at 6%, $7000 at 8% 
D) $10,000 at 5%, $10,000 at 6%, $5000 at 8% 
A) $10,000 at 5%, $5000 at 6%, $10,000 at 8% 
B) $5000 at 5%, $10,000 at 6%, $10,000 at 8% 
C) $8000 at 5%, $10,000 at 6%, $7000 at 8% 
D) $10,000 at 5%, $10,000 at 6%, $5000 at 8%

Question 13

Graph the inequality on a plane.
-

Accepted Answer

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

Question 14

Solve the system of equations by the elimination method.
-0.4x + 0.2y = 0.4 x - 0.3y = -2.2

Accepted Answer

A) (-0.1, 0.4) 
B) (4, -1) 
C) no solution 
D) (-1, 4) 
A) (-0.1, 0.4) 
B) (4, -1) 
C) no solution 
D) (-1, 4)

Question 15

Solve by the substitution method.
-7x + 7y = -28 -4x - 4y = 16

Accepted Answer

A) (-5, 1) 
B) (-4, 0) 
C) No solution 
D) (-4, 1) 
A) (-5, 1) 
B) (-4, 0) 
C) No solution 
D) (-4, 1)

Question 16

Solve the problem.
-Mardi received an inheritance of $70,000. She invested part at 11% and deposited the remainder in tax-free bonds at 7%. Her total annual income from the investments was $6900. Find the amount invested at 11%.

Accepted Answer

A) $50,000 
B) $63,100 
C) $25,000 
D) $49,000 
A) $50,000 
B) $63,100 
C) $25,000 
D) $49,000

Question 17

Solve the problem.
-A sum of money amounting to $5.50 consists of dimes and quarters. If there are 31 coins in all, how many are quarters?

Accepted Answer

A) 15 quarters 
B) 21 quarters 
C) 17 quarters 
D) 16 quarters 
A) 15 quarters 
B) 21 quarters 
C) 17 quarters 
D) 16 quarters

Question 18

Solve the problem using the elimination method.
-The sum of two numbers is 8. Four times the larger number plus two times the smaller number is 66. Find the numbers.

Accepted Answer

A) 17 and -9 
B) 17 and -25 
C) 25 and -17 
D) 33 and -25 
A) 17 and -9 
B) 17 and -25 
C) 25 and -17 
D) 33 and -25

Question 19

Solve.
-4x + 4y + z = 15 2x - 5y - z = 17
2x + y + 3z = 17

Accepted Answer

A) No solution 
B) (5, -2, 3) 
C) (3, -2, 5) 
D) (5, 3, -2) 
A) No solution 
B) (5, -2, 3) 
C) (3, -2, 5) 
D) (5, 3, -2)

Question 20

Solve using the substitution method.
-x = -1 + 8y x + -8y = 3

Accepted Answer

A) Infinitely many solutions 
B)    
C)    
D) No solution 
A) Infinitely many solutions 
B)    
C)    
D) No solution

Solve using the elimination method. -x + 9y = -15 2x + 9y = -12

Solve the problem. -The perimeter of a rectangle is 60 cm. One side is 12 cm longer than the other side. Find the lengths of the sides.

Solve. -Jill is 10.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 3 hours. How fast is Joe walking?

Solve by the substitution method. -x - 6y = -6 4x - 5y = -5

Match the inequality with a graph. -

Solve the problem using the elimination method. -Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.

Solve by the substitution method. -x - 4y = -4 7x - 3y = -28

Graph the inequality on a plane. -

Solve by the substitution method. -9x - 6y = -72 -2x + 3y = 31

Solve. -A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $7, and balcony for $5. Total for a sell-out is $94,000. If half the courtside and balcony and all endzone seats are sold, the total is $54,000. How Many of each type are there?

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

Solve. -Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income From the 8% investment. Find the amount invested at each rate.

Graph the inequality on a plane. -

Solve the system of equations by the elimination method. -0.4x + 0.2y = 0.4 x - 0.3y = -2.2

Solve by the substitution method. -7x + 7y = -28 -4x - 4y = 16

Solve the problem. -Mardi received an inheritance of $70,000. She invested part at 11% and deposited the remainder in tax-free bonds at 7%. Her total annual income from the investments was $6900. Find the amount invested at 11%.

Solve the problem. -A sum of money amounting to $5.50 consists of dimes and quarters. If there are 31 coins in all, how many are quarters?

Solve the problem using the elimination method. -The sum of two numbers is 8. Four times the larger number plus two times the smaller number is 66. Find the numbers.

Solve. -4x + 4y + z = 15 2x - 5y - z = 17 2x + y + 3z = 17

Solve using the substitution method. -x = -1 + 8y x + -8y = 3

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 using the elimination method. -x + 9y = -15 2x + 9y = -12

Solve the problem. -The perimeter of a rectangle is 60 cm. One side is 12 cm longer than the other side. Find the lengths of the sides.

Solve. -Jill is 10.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 3 hours. How fast is Joe walking?

Solve by the substitution method. -x - 6y = -6 4x - 5y = -5

Match the inequality with a graph. -

Solve the problem using the elimination method. -Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.

Solve by the substitution method. -x - 4y = -4 7x - 3y = -28

Graph the inequality on a plane. -

Solve by the substitution method. -9x - 6y = -72 -2x + 3y = 31

Solve. -A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $7, and balcony for $5. Total for a sell-out is $94,000. If half the courtside and balcony and all endzone seats are sold, the total is $54,000. How Many of each type are there?

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

Solve. -Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income From the 8% investment. Find the amount invested at each rate.

Graph the inequality on a plane. -

Solve the system of equations by the elimination method. -0.4x + 0.2y = 0.4 x - 0.3y = -2.2

Solve by the substitution method. -7x + 7y = -28 -4x - 4y = 16

Solve the problem. -Mardi received an inheritance of $70,000. She invested part at 11% and deposited the remainder in tax-free bonds at 7%. Her total annual income from the investments was $6900. Find the amount invested at 11%.

Solve the problem. -A sum of money amounting to $5.50 consists of dimes and quarters. If there are 31 coins in all, how many are quarters?

Solve the problem using the elimination method. -The sum of two numbers is 8. Four times the larger number plus two times the smaller number is 66. Find the numbers.

Solve. -4x + 4y + z = 15 2x - 5y - z = 17 2x + y + 3z = 17

Solve using the substitution method. -x = -1 + 8y x + -8y = 3

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