Saxon Math Algebra I Test Study Guide

Questions and Answers

What is the percentage of spinning a '1' six times in 20 total spins?

40%

20%

50%

30% (correct)

If '5' is treated as a constant, what is the result of the expression $-5(2 + 6)$?

-50

-40 (correct)

-30

-20

What value is represented by $-6 × 0.3$?

-1.8 (correct)

2.0

-2.3

1.8

Which statement about '49' is true?

49 is a perfect square. Signup and view all the answers

What is the result of the expression $5(6 - 4)$?

10 Signup and view all the answers

What does the expression $F2 = -5^3$ evaluate to?

-125 Signup and view all the answers

Which of the following correctly describes whether 110 is a perfect square?

110 is not a perfect square. Signup and view all the answers

When evaluating $(rac{1}{9})^2$, what is the result?

$rac{1}{81}$ Signup and view all the answers

What is the result when zero is added to a number 𝑥?

The value remains 𝑥 Signup and view all the answers

Which of the following statements is true about negative addition?

The absolute values are added and the sign remains negative Signup and view all the answers

What constitutes a rational number?

An integer divided by another integer Signup and view all the answers

If you have a number cube, what is the probability of rolling a number greater than 4?

2 out of 6 Signup and view all the answers

What is the correct way to express the area of a shape if given as 174.24 square feet?

Both A and B are correct Signup and view all the answers

What is the likely outcome when the number 124 is compared with 121 and 144?

Closer to 121, approximately 11 Signup and view all the answers

If you convert 45,760 yards to miles, what is the resulting speed in miles per hour if it takes 1 hour to travel that distance?

26 mph Signup and view all the answers

How many outcomes on a number cube will result in a number greater than 4?

2 outcomes Signup and view all the answers

What property is demonstrated by the equation $(3 + 116) + 7 = (116 + 3) + 7$?

Commutative Property Signup and view all the answers

What is the simplified result of $(-6)(0.3)$?

-1.8 Signup and view all the answers

What is the probability of landing on 1 if the outcomes are 1 (6), 2 (10), and 3 (4)?

$\frac{6}{20}$ Signup and view all the answers

Which of the following expressions is equivalent to $2^3$?

$2 imes 2 imes 2$ Signup and view all the answers

Is 49 a perfect square?

Yes, because it is the square of 7 Signup and view all the answers

What is the result of simplifying $5(6 - 4)$?

10 Signup and view all the answers

If there are 10 softballs numbered 5 (one), 6 (four), 7 (three), and 8 (two), what is the probability of choosing a softball with a number greater than 6?

$\frac{4}{10}$ Signup and view all the answers

What is the simplified form of $\frac{1}{9 + \frac{1}{3}}$?

$\frac{1}{10}$ Signup and view all the answers

Is the statement $x + 1 = x$ true or false for real numbers, and why?

False, because adding 1 results in a greater value than x. Signup and view all the answers

How would you classify the outcome of Kali rolling a number greater than 4 on a number cube labeled 1-6?

Unlikely, since only two numbers meet the condition. Signup and view all the answers

What is the sum of $(-7) + (-14)$?

-21 Signup and view all the answers

To which subset of real numbers does the number 30 belong?

Natural Numbers Signup and view all the answers

What is the area of a rectangle that is 15.5 feet long and 8 feet wide?

124 square feet Signup and view all the answers

What is the combined area of a rectangular room (15.5 ft by 8 ft) and a circular room with a radius of 4 ft?

128.24 square feet Signup and view all the answers

How fast does Johnny's dirt bike travel in miles per hour if it moves at 45,760 yards per hour?

26 mph Signup and view all the answers

What is the estimated value of 124 to the nearest integer?

124 Signup and view all the answers

Study Notes

Algebra Properties

Commutative Property of Multiplication illustrated by: ( (3 \times 116) \times 7 = (116 \times 3) \times 7 )
Associative Property of Multiplication shown in: ( 116 \times (3 \times 7) = (116 \times 3) \times 7 )

Comparing Expressions

When ( a = 3 ) and ( b = 2 ):
- ( a \times b < a + b ) translates to ( 3 \times 2 < 3 + 2 )
- ( 6 < 5 ) is false.

Simplifying Expressions

Difference calculated: ( -1.1 - (-2.3) = 1.2 )
Expression simplified: ( -6 \times 0.3 = -1.8 )
Simplifying ( -5/2 ) gives ( -\sqrt{5} )
Simplifying ( -5/3 ) provides ( -\sqrt{5^3} )

Probability Calculations

Spinner results show:
- Probability of landing on 1 is ( \frac{6}{20} = \frac{3}{10} = 30% )
- Probability of landing on 2 is ( \frac{10}{20} = \frac{1}{2} = 50% )
- Probability of landing on 3 is ( \frac{4}{20} = \frac{1}{5} = 20% )

Area Calculations

Rectangular room area: ( 15.5 \times 8 = 124 ) square feet
Circular room area: ( 3.14 \times 4^2 = 50.24 ) square feet
Combined area equals ( 124 + 50.24 = 174.24 ) square feet.

Speed Conversions

Dirt bike speed conversion: ( 45,760 ) yards per hour is ( 26 ) mph.

Events in Probability

Rolling numbers greater than 4 on a cube shows outcomes: 5, 6.
Event categorized as "unlikely" because only two favorable outcomes out of six total.

Perfect Squares

( 49 ) is a perfect square ( ( 7 \times 7 ) ).
( 110 ) is not a perfect square (not the product of two identical integers).

Real Number Subsets

( \frac{30}{13} ) is a rational number as it can be expressed as the ratio of two integers.

Expression Truth Verification

Statement ( x + 1 = x ) is false; it holds true only for ( x + 0 = x ) which shows the Identity Property of Addition.

Rounding Estimates

Rounding ( 124 ) to the nearest integer gives ( 11 ).

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Description

Prepare for the first 15 tests in Saxon Math Algebra I with this comprehensive study guide. This guide covers key properties, expressions, and problem-solving techniques necessary for success. Review questions are included to test your understanding and application of the material.