Algebra 1 Review

Johnny earns $13 per hour working at a clothing store. He is writing a function to show the relationship between his hours worked, h, and his wages, w. In Johnny's function, which of these are the independent variable?

• Number of hours worked

• Wage earned in one hour

• Total wages earned

• Amount of time Johnny must work to earn $1

Answer explanation

Johnny is in control of the number of hours he works, and his wages depend on how much he works. These are the things that make number of hours, h, the independent variable.

Which statement describes the relationship between each x and y value in the table?

• y is 2 less than x

• y is 2 less than twice x

• y is equal to x

• y is 2 less than the square of x

Which function describes the relationship between x and y in the table?

• y = x + 3

• y = 3x

• y = 2x + 3

• y = 3x - 1

Answer explanation

Each y value is 3 more than twice x which makes the equation "y = 2x + 3".

3x only works for (0, 3) & (3, 9).

x + 3 only works for (0, 3.

• All real numbers

• All real numbers except 7

• All real numbers except 0

• All real numbers except -7

Answer explanation

Since we can't divide by 0, we have to find what makes the denominator 0 by solving "x + 7 = 0".

x = -7 would make the denominator 0, so x cannot equal -7.

What is the slope of the line given the points in the table?

• 2

Which statement is NOT true for the graph?

• The x-intercept is 1.

• The line goes through the origin.

Answer explanation

The line does not intersect with (0, 0), which means it does not include the origin.

A student graphed the line y = -5x + 3 by plotting three points and connecting them. How could this student use those points to find the graph of y = -5x - 7?

• Move each point up 3 units.

• Move each point down 10 units.

• Move each point down 5 units.

• Move each point left 3 units.

Answer explanation

Because the slope of each equation is the same, the 2 lines are parallel. The only difference between the 2 equations is the y-intercept. The first equation is 3 above the origin, and the second equation is 7 below. In order to move from the first equation to the second, we have to shift down 10 units.

This is also the distance from +3 to -7.

Answer explanation

Since a = 3, that means this parabola opens up, which makes the vertex a minimum. With b = 0, we can substitute 0 in for x and we're left with -4. This tells us that the vertex is at (0, -4) and this is a minimum, so all the y values in the parabola are above -4.

• a = b

• a > b

• a < b

• Not Enough Info

Chose the correct answer based on the graphs.

• F

• G

• H

• J

Answer explanation

The "-4" shifts the graph 4 units down.