Algebraic Reasoning Fall/Winter Final 2023

Evaluate -2x + -3y if x = 10 and y = -6

• 18

• -38

• 12

• -2

Evaluate when a = 15:
2(a - 5) + 2

• 22
• 27
• 14
• 7

2 (n + 5) = -2 The first step in solving the following equation is ____________

• add five to both sides

• distribute 2 to all terms in the parenthesis

• add 2

What is the first step to solve this equation:

11 - 3x = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

The steps in solving 5b - 6 = 24 are:

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

What is the second step to solve this equation?

3k + 5 = 23

• Multiply both sides by 3

• Subtract both sides by 3

• Divide both sides by 3

• Subtract both sides by 5

What is the range in inequality notation?

• ( -4 , 4 )

• [ 1 , -3 )

• -4 < x < 4

• 1 ≥ y > -3

What is the domain in inequality notation?

• ( -4 , 4 )

• [ 1 , -3 )

• -4 < x < 4

• 1 ≥ y > -3

What is the range in inequality notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• -2 ≤ x ≤ 2

• 4 ≥ y ≥ -4

What is the domain in inequality notation?

• [ -2 , 2 ]

• [ 4 , -4 ]

• -2 ≤ x ≤ 2

• 4 ≥ y ≥ -4