8th grade Math STAAR Practice Category 1 & 2

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if y is proportional to x, then y = kx for some constant k.

Tags

CCSS.7.RP.A.2A

Front

How do you solve for x in the equation 0.17x − 0.03 = 0.03x − 0.002?

Back

To solve for x, first isolate x on one side of the equation. Rearranging gives 0.17x - 0.03x = 0.03 - 0.002, which simplifies to 0.14x = 0.028. Dividing both sides by 0.14 gives x = 0.2.

Front

What is the equation for a linear function with a slope and y-intercept?

Back

The equation for a linear function can be expressed as y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables. For example, in a gas bill, the slope indicates the cost per unit of gas used.

Tags

CCSS.8.EE.B.5

Front

How do you identify a non-proportional relationship from a set of equations?

Back

A non-proportional relationship will have a constant term (y-intercept) that is not zero. For example, y = 7x - 9 is non-proportional because of the -9.

Tags

CCSS.8.EE.B.5

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the relationship on the y-axis.

Tags

CCSS.HSF.LE.B.5

Front

How can you represent a monthly charge that includes a fixed fee and a variable fee?

Back

The total charge can be represented by the equation y = mx + b, where m is the variable cost per unit, x is the number of units, and b is the fixed fee.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of the equation y = 0.6924x + 16 in a gas bill context?

Back

This equation indicates that the total monthly charge (y) is made up of a fixed service fee of $16 plus a variable cost of $0.6924 for each hundred cubic feet of gas used (x).

Tags

CCSS.HSF.LE.B.5

Front

How do you find the value of x in a model equation?

Back

To find the value of x, substitute known values into the equation and solve for x by isolating it on one side.

Tags

CCSS.7.EE.B.4A

Front

What is the process for graphing a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, then use the slope to find another point, and draw a line through the points.