Download Unit 1: Integers, Expressions, and Equations

Name: _____________________
Unit 2: Exponents and Rational Numbers
Chapters 4 and 5
Study Guide
All answers should be in simplest form!!!
1. Evaluate an algebraic expression.
a. Evaluate for a = 2 and x = 5
2a + 5
3x/3
2. Read, write, and represent rational numbers.
a. The earth is approximately 93,000,000 miles from the sun. What is this distance
written in scientific notation?
b. Rewrite using exponents: 3543
c. Write in standard notation: 5.672 x 108
3. Identify and use the laws of exponents to simplify expressions.
a. Simplify each expression. Write your answers in exponential form.
(k7)2
k6 k5
k8  k2
4. Compare, order, and describe rational numbers with and without relational symbols.
a. Order the following numbers from least to greatest:
9/3
16
-1.2
0
5. Solve for an unknown in a linear equation.
Pre-Algebra
Unit 2 – Exponents and Rational Numbers Study Guide
3
Name: _____________________
a. -3t + 14 = 5
b. ¾ b = ½
c. 5/6 + k = 4/15
6. Add, subtract, multiply and divide integers.
a. -3 + 5
b. -3 – 5
c. -3  5
d. -3/5
7. Evaluate numeric expressions using the order of operations.
a. Evaluate when x = 3 and y = 5
5(x + 2) + xy
8. Apply given formulas to a problem-solving situation.
a. Use the formula A = ½ bh to find the area of the triangle
¾
1½
b. Mrs. Brand can run 4 miles an hour. Use the distance formula (d = rt) to find out
how far she could run in ¼ of an hour.
c. Your Pre-Algebra is 8 ½ by 11 inches. Use the formula for area of a rectangle to
find the total area of the book.
Pre-Algebra
Unit 2 – Exponents and Rational Numbers Study Guide