HA: 12.word problem equations test prep

Front

What does the equation y = -25x + 120 represent in a real-world context?

Back

It describes a situation where there are 120 gallons of water in a tank, and it releases water at a rate of 25 gallons per minute.

Front

How do you represent the total amount of money Jerry has after working x hours if he starts with $20 and earns $7 per hour?

Back

The equation is y = 7x + 20.

Front

If Susan has 34 marbles and Jane has four times as many, how do you calculate the total number of marbles they have together?

Back

Total marbles = Susan's marbles + Jane's marbles = 34 + (4 * 34) = 170.

Front

How do you find the number of apples in each basket if 512 apples were collected, 8 were thrown away, and they were equally divided into 9 baskets?

Back

First, subtract the thrown apples: 512 - 8 = 504. Then divide by the number of baskets: 504 / 9 = 56 apples per basket.

Front

What are three consecutive odd integers whose sum is -45?

Back

The integers are -15, -17, and -19.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, represented by b in the equation y = mx + b.

Front

How do you solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

Front

What is the formula for finding the area of a rectangle?

Back

Area = length × width.