Expressions
Linear Equations
Systems of linear equations
Inequalities
Foundational Skills
100

An expression that represents the sum of three and twice a number

What is 2x + 3?

*variable can differ

100

The equation of the line with slope -1/2 and y-intercept 4

What is y=-1/2x + 4?

*equation may be manipulated into another form

100

This is the meaning of a solution to a system of equations with variables x and y

What particular coordinates (x,y) satisfy all the equations in the system?

100

An inequality to represent "7 is less than a number"

What is 7 < x?

*variable can differ

100

The fraction in the following group that is NOT equivalent to the others:

2/6        3/12        1/4

What is 2/6?

200

An expression that represents "7 less than three times a number"

What is 3x - 7?

*variable can differ

200

The slope of the line y - 3/2 x = 7

What is 3/2?

200

This is how you can check if your solution to a system of equations (with variables x and y) is correct.

What is substituting your x and y values into each equation?

200

An inequality to represent "the sum of twice a number and 6 is greater than or equal to 77"

What is 2x + 6 ≥ 77?

200

The sum of a half and a third

What is 5/6?

300

The meaning of 750 in the expression "50x + 750," which Jake wrote to figure out how much money is in his savings after x weeks.

What is the initial amount of money Jake had in his savings?

300

The equation of a line that passes through the point (8,-1) and has slope -3/4

What is y = -3/4x + 5?

*equation may be manipulated into another form

300

The solution to the system of equations:

y = 2x +1

y = 3x +2

What is (-1, -1)?

300

An x-value that satisfies the following inequality:

2x + 5 ≤ 3

What is [insert any number less than or equal to -1]?

300

The simplified form of 3(x+2) - 5x

What is -2x + 6?

400

The meaning of x in the expression "2y + 3x," which Gabby wrote to represent how much money she'd spend on tacos that cost $2 each and cups of horchata that cost $3 each.

What is the number of cups of horchata that Gabby bought?

400

The slope of the line x = 7

What is an undefined slope?

400

Frank and Carla compared how much money they each have in their checking account, given Carla makes $13.50 per hour and Frank makes $15 per hour:

Frank: y = 15x + 150

Carla: y = 13.50x + 200

The solution to the system of equations above is (100/3, 650). This is the meaning of that solution in context.

What is Carla and Frank each have $650 in their checking account after working 100/3 hours?

400

A compound inequality that represents "a number is greater than 0 and at most 6"

What is 0 ≤ x ≤ 6?

*variable can differ

400

The simplified form of x2yxyx3y4

What is x6y6?

500

The meaning of the expression "250 - 50x," given 250 represents how much money Jess initially has in her checking account and -50x represents her spending $50 every week.

What is Jess' checking account balance after x weeks?

500

The equation of a line that passes through the points (1,4) and (-3,12)

What is y=-2x + 6?

*equation may be manipulated into another form

500

This is the solution to the following system of equations:

3y = 2x - 5

2y = 2x + 6

What is (-14,-11)?

500

An ordered pair that satisfies the following inequality:

y > 2x - 1

What is [insert any point (x,y) above the line y=2x-1]?

500

The expression x2-5x+3 evaluated at x = 9

What is 39?