KEYSTONE REVIEW - Algebra 1 (Module 1)

Front

What is the greatest common factor (GCF) of the monomials 78x²y²z⁴ and 12x²yz²?

Back

The GCF is 6x²yz².

Front

Simplify √162.

Back

The simplified form is 9√2.

Front

Write the equation of a line in slope-intercept form with slope = 2 and y-intercept = 3/2.

Back

The equation is y = 2x + 3/2.

Front

If tickets cost $2.50 each and Marco has $14.75, how many tickets can he buy?

Back

Marco can buy 5 tickets.

Front

Write an equation for the water level, w, after d days if the initial level is 34 feet and it recedes at 0.5 foot per day.

Back

The equation is w = -0.5d + 34.

Front

How do you find the GCF of two monomials?

Back

Factor each monomial and take the product of the lowest powers of all common factors.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean to simplify a square root?

Back

To simplify a square root means to express it in its simplest form, removing any perfect square factors.

Front

How do you determine how many items you can buy with a given amount of money?

Back

Divide the total amount of money by the cost of one item and round down to the nearest whole number.

Front

What is the formula to calculate the number of days until a certain water level is reached?

Back

Use the equation w = -0.5d + 34 and solve for d when w is the desired water level.