Math 8 - Round 2

Equations

200

Solve for x;

4x + 2 = x + 5

x = 1

400

Solve for x;

4x + 2 = 2(2x + 1)

all real numbers

600

Solve for x;

-x + 2 = x - 5 - 3x

x = -7

800

Solve for x;

2(x - 2) + x = 5

x = 3

1000

Solve for x;

(1/6)x + (2/3)x = 5

x = 6

Linear Functions

200

Graph the rule;

y = 3x - 2

Graph passes through the points;

(0, -2) (1, 1) (2, 4) etc. 

400

Write an equation for a line that passes through the points; (0, -1) (1, 1) and (2, 3)

y = 2x - 1

600

Write an equation for the line that passes through the points; (1, 4) (2, 5) and (3, 6)

y = x + 3

800

Find the slope of a line that passes through the points; (1, 1) and (4, 3)

m = (2/3)

1000

Write the rule for a graph that passes through the points; (1, 5) and (4, 14)

y = 3x + 2

Surface Area/Volume

200

Find the Volume of a cube with a side length of 5in.

V = 125 in³

400

Find the Volume of a Sphere with a diameter of 10. 

Round your answer to the nearest tenth

V = 523.3

600

Find the Volume of a cylinder with a height of 16 and a radius of 3. 

Round your answer to the nearest tenth

V = 452.2

800

Find the Surface Area of a rectangular prisms with dimensions 4 x 4 x 8. 

SA = 160

1000

Find the volume of a Cone with a height of 11 and a diameter of 6. 

Round your answer to the nearest tenth.

V = 103.6

Miscellaneous

200

Find the missing angle in a triangle with angle measures of 33 and 90 degrees. 

Missing angle = 57 degrees

400

Find the cube root of 2197

13

600

Find the missing side length of a right triangle that has a hypotenuse of 9 and one of the legs is 6. 

Round your answer to two decimal places

missing leg = 6.71 (sg. root of 45)

800

Simplify;

(3x²y)² (xy²)

9x⁵y⁴

1000

Solve the System of Equations;

y = 2x + 1

y = -3x - 4

(-1, -1)