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Systems
Inequalities
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100

Solve for x: 3x + 6 - x = 24

x = 9

100

Tickets to a school play cost $20 for students (s) and $25 for adults (a). The school sells 800 tickets for a total of $10,500. Write a system of equations that could be used to model this scenario.

20s + 25a = $10, 500

s + a = 800

100

What type of line (dashed or solid) and where should you shade (above or below) the following inequality? -4x + 6y > 24

dashed and above

100

What is the domain of y = x2 - 7x + 9?

All Real Numbers

100

What are the solutions to the equation 2x2 - 10x - 28?

x = -2 & x = 7

200

Convert to slope-intercept form: 4x + 2y = 20

y = -2x + 10

200

Ms. Trusty has some nickels and quarters worth $3.85. There are 5 more nickels than quarters. Write a system of equations that can be used to find out how many nickels (n) and quarters (q) she has.

n = q + 5

.05n + .25q = 3.85

200

Solve the inequality: 3x + 7 > 28

x > 7

200

What are the roots of the following equation? y = x2 +8x +12

x = -6 & x = -2

200

What are the solutions to the equation x2 + 5x - 1 = -5?

x = -4 & x = -1

300

What is the slope of this function? 5x - y = 15

m = 5

300

What is the solution to this system?

y = 3x + 5

y = -2x - 5

(-2, -1)

300

Diego is buying some candy. His mom told him he has to spend less than $20. If bags of Skittles are $2 each and chocolate bars are $3 each, write an inequality that shows how the possible combinations of Skittles (s) and chocolate bars (c) that he can buy.

2s + 3c < 20

300

What is the area of a rectangle with dimensions of (3x-2) and (x+4).

3x2 +10x - 8

300

Multiply (2x + 3) and (3x - 1)

6x2 + 7x - 3

400

Solve the following equation for x: 4x + 5 = 2x + 15

x = 5

400

What is the solution to the system?

y = x + 5

y = -2x - 1

(-2, 3)

400

Solve the inequality: -4x + 9 < -7

x > 4

400

If f(x) = x2 is transformed to make g(x) = (x + 5)2, how does the graph change?

A horizontal shift left 5 units.

400

Multiply (4x - 2) and (x - 3)

4x2 - 14x + 6

500

What does Mr. Yates like to do in his free time?

Go fishing

500

What is the solution to the system?

2x + 5y = 1

x - 5y = 8

(3, -1)

500

What do we call "more than", "less than" and "fewer than"?

Switch Words

500

What shape is made if I kicked a ball up into the air?

Parabola

500

The area of a rectangle is x2 - 11x + 30. If the length is (x - 5), what is the width?

(x - 6)

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