Algebra 1 Final

Laws of Exponents

100

Whats is the value of 8 raised to the power 0?

1

200

Simplify the following using law of exponents.

5^7/5²

5⁵

300

What is the power of a number when cubed?

3

400

Solve the equation.

(2ab)3

2³a³b³

500

According to exponent rules, when we divide the expressions we _______ the exponents.

Subtract

Solving Quadratics

100

Solve the equation.

3x + 36

3(x + 12)

200

Solve the equation.

4x ² + 16x

4x(x + 4)

300

Solve the equation.

x⁴− 16

(x ² + 4)(x + 2)(x − 2)

400

Solve the equation.

x ² + 4x − 12

(x + 6)(x − 2)

500

Solve the equation.

x ² − 144

(x + 12)(x − 12)

Solving Equations and Inequalities

100

Solve the equation.

3(2x+5)=39

x = 4

200

Solve the equation.

2(6k-1)= -38

k= -3

300

Solve the equation.

4 = 2(x + 3)

-1

400

Solve the equation.

x + 5 ≤ 13

x ≤ 8

500

When you graph an inequality, a closed dot is used when you use which of these symbols?

≤, ≥

Systems of Equations

100

Find the value of two numbers if their sum is 12 and their difference is 4

4 and 8

200

The difference of two numbers is 3. Their sum is 13. Find the number

5 and 8

300

Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

Plane: 135 km/h, Wind: 23 km/h

400

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?

34

500

A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed of the boat in still water? What is the speed of the current?

boat: 12 mph, current: 9 mph