Algebra Round 1

Equations

100

Solve for x;

-x + 2 = x - 5 - 3x

x = -7

200

Solve for x;

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

all real numbers

300

Solve for x;

2(x - 2) + x = 5

x = 3

400

Solve for x

1/6x + 2/3x = 5

x = 6

500

Solve for x;

x/2 +4x/3 = 2x - 1.5

x = 9

Linear Functions

100

Graph; 

y = 3x - 2

Graph passes through the points;

(0, -2), (1, 1), (2, 4)

200

What is the rule for a linear function that passes through the points;

(1, 4) (2, 5) (3, 6) and (4, 7)

y = x + 3

300

Write the rule for the linear function that passes through the points;

(0, -1) and (2, 3)

y = 2x - 1

400

Graph;

8x + 2y = 12

Graph passes through the points;

(0, 6) (1, 2) (2, -2)

500

Write the rule for a linear function that passes through the points;

(1, 5) and (4, 14)

y = 3x + 2

Laws of Exponents

100

(x⁴)(x^-1)

x³

200

Simplify using positive exponents;

(x^-2)³

1/x⁶

300

(y^-2)(1/y²)(y³)

1/y

400

(x²y³) / (x⁴y)

y² / x²

500

(x²y)² (x²) / x⁶y²

1

Miscellaneous

100

What is the cube root of 2197

13

200

Find the missing side length of a right triangle with a hypotenuse of 9 and one leg equal to 6. (round your answer to two decimal places)

x = 6.71

300

Find the slope of a line that passes through the points (-2, -5) and (1, -1)

m = 4/3

400

Solve the system;

y = 2x + 1

y = -3x - 4

(-1, -1)

500

Solve the system;

3x + 5y = 23

y = x + 3

(1, 4)