7th Grade Math STAAR Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you find the total number of students in a class given a ratio of boys to girls?

Back

To find the total number of students, use the ratio to set up a proportion. If the ratio of boys to girls is 2:3 and there are 18 girls, the total is 30 students.

Front

What does a constant rate of change mean in a graph?

Back

A constant rate of change means that for every unit increase in the x-value, the y-value increases by a fixed amount, resulting in a straight line.

Front

How do you calculate the amount of a substance needed for a larger quantity?

Back

Use a proportion based on the original quantity. If 6 grams of tea makes 24 ounces, then for 288 ounces, you would calculate: (6 grams / 24 ounces) = (x grams / 288 ounces). This gives x = 72 grams.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope represent in a linear equation?

Back

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

Front

How do you solve for x in a linear equation?

Back

To solve for x, isolate x on one side of the equation by performing inverse operations on both sides.

Front

What is the initial charge in a taxi fare problem?

Back

The initial charge is the fixed amount charged before any distance is traveled, in this case, $2.50.

Front

What does 'y = mx + b' represent in real-world scenarios?

Back

This equation represents a linear relationship, where y is the total cost, m is the rate per unit (like miles), x is the number of units, and b is the initial charge.

Front

How do you interpret the y-intercept in a graph?

Back

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