Pre-Algebra Final Exam Practice
Answer Section
SHORT ANSWER
1. ANS:
24.8 ft
PTS:
OBJ:
TOP:
KEY:
2. ANS:
10 m
1
DIF: L2
REF: 11-2 The Pythagorean Theorem
11-2.1 Using the Pythagorean Theorem
STA: CA 7.NS.2.4 | CA 7.MG.3.3
11-2 Example 2
estimation | square root | hypotenuse | leg | Pythagorean Theorem
PTS:
OBJ:
TOP:
KEY:
3. ANS:
41 m
1
DIF: L2
REF: 11-2 The Pythagorean Theorem
11-2.1 Using the Pythagorean Theorem
STA: CA 7.NS.2.4 | CA 7.MG.3.3
11-2 Example 1
Pythagorean Theorem | leg | hypotenuse | square root | perfect square
PTS: 1
DIF: L2
REF: 11-2 The Pythagorean Theorem
OBJ: 11-2.1 Using the Pythagorean Theorem
STA: CA 7.NS.2.4 | CA 7.MG.3.3
TOP: 11-2 Example 1
KEY: Pythagorean Theorem | leg | hypotenuse | square root | perfect square
4. ANS:
about 5 feet
PTS: 1
DIF: L3
REF: 11-1 Square Roots and Irrational Numbers
OBJ: 11-1.2 Classifying Real Numbers
STA: CA 7.NS.1.4 | CA 7.NS.1.5 | CA 7.NS.2.4
KEY: estimation | square root | problem solving | pi
5. ANS:
7.925 meters
PTS: 1
DIF: L2
REF: 8-2 Equations With Two Variables
OBJ: 8-2.1 Finding Solutions of Two-Variable Equations
STA: CA 7.AF.3.3 | CA 7.MR.2.3
TOP: 8-2 Example 2
KEY: solutions of two-variable equations
6. ANS:
75.0%
PTS: 1
DIF: L2
OBJ: 6-5.1 Finding Part of a Whole
TOP: 6-5 Example 2
7. ANS:
268.8
PTS: 1
DIF: L2
REF: 6-5 Proportions and Percents
STA: CA 7.NS.1.3
KEY: percent | proportion | solving a proportion
REF: 6-5 Proportions and Percents
OBJ: 6-5.1 Finding Part of a Whole
STA: CA 7.NS.1.3
TOP: 6-5 Example 1
KEY: percent | finding part of a whole | proportion | solving a proportion
8. ANS:
204 km
PTS: 1
DIF: L2
REF: 6-2 Proportions
OBJ: 6-2.2 Using Proportions to Solve Problems
TOP: 6-2 Example 3
KEY: cross products | problem solving | proportion | solving a proportion | word problem
9. ANS:
8
PTS: 1
DIF: L2
REF: 6-2 Proportions
OBJ: 6-2.1 Solving Proportions
TOP: 6-2 Example 1
KEY: proportion | solving a proportion | cross products
10. ANS:
150 gal/h
PTS: 1
DIF: L2
REF: 6-1 Ratios and Unit Rates
OBJ: 6-1.1 Finding Rates and Unit Rates STA: CA 7.MG.1.1 | CA 7.MG.1.3 | CA 7.AF.4.2
TOP: 6-1 Example 2
KEY: rate | ratio | unit rate
11. ANS:
144.4%
PTS: 1
DIF: L2
REF: 6-4 Fractions,Decimals,and Percents
OBJ: 6-4.2 Writing Decimals and Fractions as Percents
STA: CA 7.NS.1.3
TOP: 6-4 Example 3
KEY: decimals | percent | writing decimals as percents
12. ANS:
PTS: 1
DIF: L3
REF: 5-8 Solving Equations by Multiplying Fractions
OBJ: 5-8.1 Using Multiplication to Solve Equations
STA: CA 7.NS.1.2 | CA 7.AF.1.3
TOP: 5-8 Example 4
KEY: solving an equation | reciprocal
13. ANS:
PTS: 1
DIF: L2
REF: 5-8 Solving Equations by Multiplying Fractions
OBJ: 5-8.1 Using Multiplication to Solve Equations
STA: CA 7.NS.1.2 | CA 7.AF.1.3
TOP: 5-8 Example 2
KEY: solving an equation | reciprocal
14. ANS:
8 tablecloths
PTS: 1
DIF: L3
REF: 5-4 Multiplying and Dividing Fractions
OBJ: 5-4.2 Dividing Rational Numbers STA: CA 7.NS.1.2 | CA 7.AF.1.3
KEY: dividing fractions | problem solving
15. ANS:
inches
PTS: 1
DIF: L3
REF: 5-4 Multiplying and Dividing Fractions
OBJ: 5-4.1 Multiplying Rational Numbers
STA: CA 7.NS.1.2 | CA 7.AF.1.3
TOP: 5-4 Example 3
KEY: multiplying fractions | problem solving
16. ANS:
PTS: 1
DIF: L4
REF: 5-3 Adding and Subtracting Fractions
OBJ: 5-3.2 Using Factoring to Find Common Denominators
STA: CA 7.NS.1.2 | CA 7.NS.2.2
TOP: 5-3 Example 4
KEY: adding fractions | subtracting fractions
17. ANS:
5
2
9
PTS:
OBJ:
STA:
KEY:
18. ANS:
1
5
3
1
DIF: L3
REF: 5-2 Fractions and Decimals
5-2.2 Writing Decimals as Fractions
CA 7.NS.1.1 | CA 7.NS.1.3 | CA 7.NS.1.5
TOP: 5-2 Example 5
converting fractions to decimals | repeating decimal
PTS:
OBJ:
STA:
KEY:
19. ANS:
1
DIF: L3
REF: 5-2 Fractions and Decimals
5-2.2 Writing Decimals as Fractions
CA 7.NS.1.1 | CA 7.NS.1.3 | CA 7.NS.1.5
TOP: 5-2 Example 5
converting fractions to decimals | repeating decimal
PTS: 1
DIF: L3
REF: 5-2 Fractions and Decimals
OBJ: 5-2.2 Writing Decimals as Fractions
STA: CA 7.NS.1.1 | CA 7.NS.1.3 | CA 7.NS.1.5
TOP: 5-2 Example 4
KEY: fraction | mixed numbers
20. ANS:
0.32; terminating
PTS:
OBJ:
STA:
KEY:
21. ANS:
1
DIF: L2
REF: 5-2 Fractions and Decimals
5-2.1 Writing Rational Numbers as Decimals
CA 7.NS.1.1 | CA 7.NS.1.3 | CA 7.NS.1.5
TOP: 5-2 Example 1
terminating decimal | converting fractions to decimals
PTS: 1
DIF: L2
REF: 4-9 Scientific Notation
OBJ: 4-9.2 Calculating With Scientific Notation
STA: CA 7.NS.1.1
TOP: 4-9 Example 6
KEY: scientific notation | multiplying powers
22. ANS:
253,000
PTS: 1
DIF: L2
REF: 4-9 Scientific Notation
OBJ: 4-9.1 Writing and Evaluating Scientific Notation
STA: CA 7.NS.1.1
TOP: 4-9 Example 3
KEY: scientific notation
23. ANS:
–5
–4
–3
–2
–1
0
1
2
3
4
5
PTS: 1
DIF: L2
REF: 4-6 Rational Numbers
OBJ: 4-6.1 Identifying and Graphing Rational Numbers
STA: CA 7.NS.1.1 | CA 7.AF.1.2
TOP: 4-6 Example 2
KEY: rational numbers | graphing | number line
24. ANS:
PTS: 1
DIF: L2
REF: 4-9 Scientific Notation
OBJ: 4-9.1 Writing and Evaluating Scientific Notation
STA: CA 7.NS.1.1
TOP: 4-9 Example 1
KEY: scientific notation
25. ANS:
PTS: 1
DIF: L3
REF: 4-4 Simplifying Fractions
OBJ: 4-4.2 Writing Fractions in Simplest Form
TOP: 4-4 Example 3
KEY: fraction | simplest form
26. ANS:
7
9
PTS:
OBJ:
TOP:
KEY:
27. ANS:
1
1
24
1
DIF: L2
REF: 5-3 Adding and Subtracting Fractions
5-3.1 Adding and Subtracting Fractions
STA: CA 7.NS.1.2 | CA 7.NS.2.2
5-3 Example 2
adding fractions | subtracting fractions | least common denominator
PTS:
OBJ:
TOP:
KEY:
28. ANS:
1
DIF: L4
REF: 5-3 Adding and Subtracting Fractions
5-3.1 Adding and Subtracting Fractions
STA: CA 7.NS.1.2 | CA 7.NS.2.2
5-3 Example 2
adding fractions | subtracting fractions | least common denominator
PTS: 1
DIF: L3
REF: 5-9 Powers of Products and Quotients
OBJ: 5-9.1 Finding Powers of Products
STA: CA 7.NS.1.2 | CA 7.NS.2.3 | CA 7.AF.2.1 | CA 7.AF.2.2
TOP: 5-9 Example 2
KEY: raising a product to a power
29. ANS:
1
13
2
PTS:
OBJ:
TOP:
KEY:
30. ANS:
1

20
1
DIF: L2
REF: 5-3 Adding and Subtracting Fractions
5-3.2 Using Factoring to Find Common Denominators
STA: CA 7.NS.1.2 | CA 7.NS.2.2
5-3 Example 4
adding fractions | subtracting fractions | least common denominator
PTS:
OBJ:
TOP:
KEY:
31. ANS:
9
1
DIF: L2
REF: 5-3 Adding and Subtracting Fractions
5-3.1 Adding and Subtracting Fractions
STA: CA 7.NS.1.2 | CA 7.NS.2.2
5-3 Example 2
adding fractions | subtracting fractions | least common denominator
PTS:
OBJ:
STA:
TOP:
32. ANS:
1
DIF: L2
REF: 4-8 Exponents and Division
4-8.1 Dividing Expressions Containing Exponents
CA 7.NS.2.1 | CA 7.NS.2.3 | CA 7.AF.2.1 | CA 7.AF.2.2
4-8 Example 1
KEY: exponent | dividing a power by a power
; $1.40
PTS:
OBJ:
TOP:
KEY:
33. ANS:
23
1
DIF: L2
REF: 3-4 Solving Equations by Adding or Subtracting Decimals
3-4.1 Using Subtraction to Solve Equations
STA: CA 7.NS.1.2
3-4 Example 2
subtracting decimals | solving an equation | word problem | problem solving | multi-part question
PTS: 1
DIF: L2
REF: 7-3 Two-Step Equations With Fractions and Decimals
OBJ: 7-3.2 Solving Two-Step Equations With Decimals
STA: CA 7.NS.1.2 | CA 7.AF.4.1
TOP: 7-3 Example 3
KEY: decimals | solving multi-step equations
34. ANS:
–20
PTS: 1
DIF: L2
REF: 7-3 Two-Step Equations With Fractions and Decimals
OBJ: 7-3.1 Solving Two-Step Equations With Fractions
STA: CA 7.NS.1.2 | CA 7.AF.4.1
TOP: 7-3 Example 1
KEY: solving multi-step equations | fraction
35. ANS:
8
PTS: 1
DIF: L2
REF: 7-3 Two-Step Equations With Fractions and Decimals
OBJ: 7-3.1 Solving Two-Step Equations With Fractions
STA: CA 7.NS.1.2 | CA 7.AF.4.1
TOP: 7-3 Example 1
36. ANS:
KEY: solving multi-step equations | fraction
3
PTS:
OBJ:
TOP:
KEY:
37. ANS:
–28
1
DIF: L3
REF: 7-2 Solving Multi-Step Equations
7-2.2 Using the Distributive Property
STA: CA 7.AF.1.3 | CA 7.MR.3.1
7-2 Example 3
combining like terms | solving multi-step equations | Distributive Property
PTS: 1
DIF: L2
OBJ: 7-2.1 Combining Like Terms
TOP: 7-2 Example 1
38. ANS:
–66.3
REF: 7-2 Solving Multi-Step Equations
STA: CA 7.AF.1.3 | CA 7.MR.3.1
KEY: solving multi-step equations | combining like terms
PTS: 1
DIF: L4
REF: 3-4 Solving Equations by Adding or Subtracting Decimals
OBJ: 3-4.1 Using Subtraction to Solve Equations | 3-4.2 Using Addition to Solve Equations
STA: CA 7.NS.1.2
KEY: subtracting decimals | adding decimals | solving an equation
39. ANS:
267.95
PTS: 1
DIF: L3
REF: 3-3 Using Formulas
OBJ: 3-3.1 Substituting Into Formulas
STA: CA 7.AF.1.2 | CA 7.MG.2.1
TOP: 3-3 Example 2
KEY: formula | word problem
40. ANS:
Yes; since 5.95 is close to the estimate 6, it is reasonable.
PTS: 1
DIF: L2
OBJ: 3-2.2 Estimating Quotients
TOP: 3-2 Example 4
41. ANS:
about 24
REF: 3-2 Estimating Decimal Products and Quotients
STA: CA 7.NS.1.2 | CA 7.MR.2.1 | CA 7.MR.2.7
KEY: decimals | estimation | reasoning
PTS: 1
DIF: L2
OBJ: 3-2.1 Estimating Products
TOP: 3-2 Example 1
42. ANS:
about 196 g
REF: 3-2 Estimating Decimal Products and Quotients
STA: CA 7.NS.1.2 | CA 7.MR.2.1 | CA 7.MR.2.7
KEY: decimals | rounding | estimation
PTS: 1
DIF: L3
REF: 3-1 Rounding and Estimating
OBJ: 3-1.2 Estimating Sums and Differences
STA: CA 7.NS.1.2 | CA 7.MR.2.1 | CA 7.MR.2.7
KEY: decimals | estimation | rounding
43. ANS:
P > 18
PTS: 1
DIF: L3
REF: 2-9 Solving One-Step Inequalities by Adding or Subtracting
OBJ: 2-9.1 Solving Inequalities by Subtracting
STA: CA 7.AF.1.1
TOP: 2-9 Example 2
KEY: solving an inequality | inequality | problem solving | word problem | Subtraction Property of Inequality
44. ANS:
5a, –3a
PTS: 1
DIF: L2
REF: 2-3 Simplifying Algebraic Expressions
OBJ: 2-3.1 Identifying Parts of an Algebraic Expression
STA: CA 7.AF.1.3 | CA 7.AF.1.4
TOP: 2-3 Example 1
KEY: algebraic expression | like terms
45. ANS:
3a – 18
PTS: 1
DIF: L2
OBJ: 2-2.2 Algebraic Expressions
TOP: 2-2 Example 5
46. ANS:
–10
REF: 2-2 The Distributive Property
STA: CA 7.AF.1.3 | CA 7.MR.2.5
KEY: Distributive Property
PTS: 1
DIF: L2
OBJ: 1-9.2 Dividing Integers
TOP: 1-9 Example 4
47. ANS:
2.38 inches
REF: 1-9 Multiplying and Dividing Integers
STA: CA 7.NS.1.2 | CA 7.MR.2.5
KEY: dividing integers
PTS: 1
DIF: L2
OBJ: 1-8.1 Finding Number Patterns
KEY: pattern | problem solving
48. ANS:
$61
REF: 1-8 Reasoning Strategy: Look for a Pattern
STA: CA 7.MR.1.1
PTS: 1
DIF: L3
REF: 1-6 Subtracting Integers
OBJ: 1-6.2 Using a Rule to Subtract Integers
STA: CA 7.NS.1.2 | CA 7.MR.2.5
TOP: 1-6 Example 3
KEY: subtracting integers | word problem | problem solving
49. ANS:
<
PTS: 1
DIF: L3
OBJ: 1-4.2 Finding Absolute Value
TOP: 1-4 Example 2
50. ANS:
numerical expression
REF: 1-4 Integers and Absolute Value
STA: CA 7.NS.2.5 | CA 7.MR.2.5
KEY: absolute value
PTS: 1
DIF: L2
REF: 1-1 Variables and Expressions
OBJ: 1-1.1 Identifying Numerical and Algebraic Expressions
STA: CA 7.AF.1.1 | CA 7.AF.1.4
TOP: 1-1 Example 1
KEY: algebraic expression