Systems Of Linear Equations And Inequalities Test Bank Ch.6

College Algebra, 5e (Young)

Chapter 6 Systems of Linear Equations and Inequalities

6.2 Systems of Linear Equations in Three Variables

1) Solve the system of linear equations for a, b, and c.

6a - 4b + 7c = 65

2a + 7b - 2c = -33

6a - 5b + 8c = 73

A) (-4, -5, 3)

B) ( 3, -5, 4)

C) (4, -5, 3)

D) (-5, 3, 4)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

2) Solve the system of linear equations for k, m, and n.

4k + 3m - 3n = 10

5k - 5m - 2n = 30

3k - 2m - 8n = 49

A) (1, -3, -5)

B) (1, 3, -5)

C) (-5, -3, 1)

D) (-5, 3, 1)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

3) Solve the system of linear equations for s, t, and u.

6s - 7t + 4u = 19

7s + 6t + 4u = -21

7s - 8t + 2u = 19

A) (1, -3, -1)

B) (-1, 1, -3)

C) (-3, -1, 1)

D) (-1, -3, 1)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

4) Solve the linear system of equations for k, m, and n.

-6k - 3m + 4n = -21

-4k + 5m - 2n = -21

-3k - 8m - 8n = -47

A) (1, 5, 3)

B) (3, 1, 5)

C) (5, 1, 3)

D) (5, 3, 1)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

5) Ocean Beach Financial Planning offers three types of investments: low-risk, medium-risk, and high-risk. A customer decides to invest $6600 and is given three options for investing in the three funds. Determine the interest rate percentage for the low-risk, l, medium-risk, m, and high-risk, h, investments based on the interest earned for each option in the first year.

$300l + $750m + $5550h = $429.00

$500l + $1150m + $4950h = $409.00

$350l + $1200m + $5050h = $417.00

A) (2%, 6%, 8%)

B) (0%, 4%, 6%)

C) (1%, 5%, 7%)

D) (7%, 5%, 1%)

Diff: 4 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve application problems using systems of linear equations in three variables.

6) Solve the system of linear equations for v, w, and x.

-4v - 5w + 8x = 14

8v - 8w - 2x = 122

7v + 4w + 6x = 64

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

7) An object is thrown upward, and the following table depicts the height of the ball t seconds after the projectile is released.

Find the initial height (h0), initial velocity (v0), and acceleration (a) due to gravity.

Diff: 2 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve application problems using systems of linear equations in three variables.

8) Solve the system of equations.

18x - 9y = -3

9x - 3z = -3

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

9) Solve the system of linear equations for a, b, and c.

A) (-3, -3, 5)

B) (5, -3, 3)

C) (3, -3, 5)

D) (-3, 5, 3)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

10) Solve the system of linear equations for x, y, and z.

A) (-3, -1, 2)

B) (-3, 1, 2)

C) (2, -1, -3)

D) (2, 1, -3)

Diff: 3 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

11) Solve the system of linear equations for x, y, and z.

A) (-3, 2, -2)

B) (-3, -2, -2)

C) (-2, 2, -3)

D) (-2, -2, -3)

Diff: 1 Var: 1

Chapter/Section: Ch 06, Sec 02

Learning Objective: Solve systems of linear equations in three variables using a combination of the elimination method and the substitution method.

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