Are you READY for 9th grade MATH?

Systems of Equations

100

Graph the equation.

y= -2/5 x + 2

Must include a y-intercept of 2. Slope is -2/5

200

Graph the equations. Find the intersection point.

y=5

y=3x+2

(1,5)

Must include graphs of the equations!

300

Find the intersection point.

y=6x+3

y=9

(1,9)

400

Solve using substitution. Find the intersection point

y=6x-6

2x+y= 10

2x+6x-6=10                  y=6x-6

8x-6=10                        y= 6(2) - 6

8x=16                           y=12-6

x=2                              y=6

(2,6)

500

Solve using substitution. Find the intersection point.

y=5x+1

-2x+y=4

(1,6)

y=5x+1                y=2x+4

5x+1= 2x+4               y=5x+1

3x+1= 4                     y=5(1) + 1

3x=3                        y=6

x=1

Expressions and Equations

100

Solve for x. Show your work.

3x-10= 35

X=15

200

Solve for x. Show your work.

3(x-2) = 9

X=5

300

Solve for x.

9(x-5) + 3x = -117

X=-6

400

Solve for x.

-3(x-15) = 4(-x+20)-2

X=33

500

4.5(x-5) = 5.5(x+10)

X=-77.5

Integers and Rational Numbers

100

Multiply, keep your answer in simplest form.

1/5 x  -3/4

-3/20

200

Divide!

(-90) /  (-12)

7.5

300

Multiply!

-30 x  (15)

-450

400

Multiply! Give your answer as a mixed number in simplest form.

-3 1/2  x  (- 2 2/5)

8 2/5

500

Add. Keep your answer in simplest form.

14 1/2  -  11 5/6

2 2/3

Geometry

100

Consider the point (2,5)

Find the image if the point is translated (+5,-2)

(7,3)

200

Point K has coordinates (x,y) Point K' is the image of Point K under a 180 degree rotation about the origin. What are the coordinates of Point K'?

(-x, -y)

300

Point K has coordinates (x,y) Point K' is the image of Point K under a reflection over the y-axis. Find the coordinates of Point K'.

(-x,y)

400

Point K has coordinates (x,y) Point K' is the image of Point K under a 90 degree clockwise rotation about the origin. Find the coordinates of Point K'.

(y,-x)

500

Point K has coordinates (x,y) Point K' is the image of Point K under a 270 degree clockwise rotation about the origin. Find the coordinates of Point K'.

(-y,x)

Miscellaneous Math (M^2)

100

60% of the 7th grade is a fan of math. If there are 90 7th graders, how many of them are math fans?

54 math fans

200

67 out of 75 7th graders passed their most recent math test with a C or higher. What percent is that?

89.3 %  (3 repeats)

300

Solve for x. Graph the solution.

5x > -60

x>-12

Must include graph

400

Solve for x. Graph the solution.

4x - 10 <  190

X<50

Must include graph.

500

85% of the 7th graders say that they LOVE graphing equations to find an intersecting point. If 120 7th graders love graphing equations, how many total 7th graders are there?

About 141