Grade: Grade 8 Subject: Mathematics Unit: Functions SAT: Algebra ACT: Math

Linear Functions

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This lesson covers key concepts for Linear Functions. Content will include explanations, definitions, and foundational knowledge.

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Example problems and worked solutions will appear here.

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0/4 correct

Question 1

What is the slope of the line y = 2x + 5?

A 2

B 5

C 7

D -2

Explanation: In slope-intercept form y = mx + b, the slope m is the coefficient of x. Here m = 2.

Question 2

Solve for x: 3x + 7 = 22

A 5

B 15

C 29

D 7

Explanation: Subtract 7 from both sides: 3x = 15. Divide by 3: x = 5.

Question 3

What is the y-intercept of y = -4x + 9?

A -4

B 4

C 9

D -9

Explanation: In y = mx + b, the y-intercept b is the constant term. Here b = 9.

Question 4

Which point lies on the line y = 2x - 1?

A (0, 1)

B (1, 1)

C (2, 5)

D (3, 5)

Explanation: Substitute x = 3: y = 2(3) - 1 = 5. So (3, 5) is on the line.

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Self-assessment questions will appear here.