8th Grade Math GM Study Guide Questions 1-24

Front

What is the value of x that makes the equation true if the answer is 13?

Back

x = 13

Front

What property justifies the simplified equation in Step 4 if the answer is Addition Property of Equality?

Back

Addition Property of Equality states that if you add the same value to both sides of an equation, the two sides remain equal.

Front

What is the equation of a linear function in point-slope form that passes through (3, -1) with a slope of -2?

Back

y + 1 = -2(x - 3)

Front

Which equation can be used to find the y-intercept of the linear function y = -2x + 5?

Back

The y-intercept is found when x = 0, so the equation is y = -2(0) + 5 = 5.

Front

What property justifies the simplified equation in Step 5 if the answer is Division Property of Equality?

Back

Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

How much does Sandra charge for each necklace if her profit equation is P=7.5n-(2.25n+15)?

Back

Sandra charges $7.50 for each necklace.

Front

What is the formula for calculating profit in a business scenario?

Back

Profit = Revenue - Costs.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

What is the difference between fixed costs and variable costs in a business?

Back

Fixed costs do not change with the level of production, while variable costs change with the level of production.