Pre-Algebra Workbook Grade 6, 7, 8
Pre-Algebra Workbook Grade 6, 7, 8 is a trademark of its owner, which is not affiliated with and does not endorse Test Treasure Publication or TTP Prep.
Pre-Algebra Workbook Grade 6, 7, 8 is a trademark of its owner, which is not affiliated with and does not endorse Test Treasure Publication or TTP Prep.
10 sample questions for the Pre-Algebra Workbook Grade 6, 7, 8, with the correct answer and an explanation for each. No account needed. Try each one before you open the answer.
Sections covered on the exam: Thenumberline, Section2Of17, Adding and Subtracting Integers, The Number Line, Multiplyinganddividingintegers, Propertiesofnumbers, Section5Of17, Factors, Divisibility Tests, and Prime Factorization, Multiplying and Dividing Integers, Gcfandlcm, Section7Of17, Fractions, The Order of Operations, Section8Of17, Decimals, Section9Of17, Square Roots, Propertiesofexponents, Squareroots, Theorderofoperations, Thecoordinateplane, Relationsandfunctions, Scientificnotation, Ratiosandproportions, Percentages, Exponents.
Question 1 · Thenumberline
Which number is located exactly halfway between −8 and 4 on the number line?
Answer: A. −2
The midpoint of two numbers is their average: (−8 + 4) ÷ 2 = −4 ÷ 2 = −2. Check: −2 is 6 units from −8 and 6 units from 4.
Question 2 · Propertiesofnumbers
Which equation demonstrates the distributive property?
Answer: A. 3 × (4 + 2) = (3 × 4) + (3 × 2)
The distributive property multiplies a factor by each term of a sum: a(b + c) = ab + ac. Here 3 is distributed to both 4 and 2.
Question 3 · Section8Of17
What is 0.5 + 0.75?
Answer: B. 1.25
Line up the decimal points and write 0.5 as 0.50: 0.50 + 0.75 = 1.25.
Question 4 · Squareroots
Simplify: √144
Answer: C. 12
12 × 12 = 144, so √144 = 12.
Question 5 · Relationsandfunctions
Refer to the table below. 1 3 2 4 3 3 1 3 Does the table represent a function?
Answer: B. Yes, because each input is paired with only one output
The input 1 appears twice, but both times it is paired with the same output, 3, so it is the same ordered pair listed twice. No input has two different outputs, and outputs are allowed to repeat, so the table represents a function.
Question 6 · Thenumberline
Which number lies to the left of −3 on the number line?
Answer: D. −4
Numbers decrease as you move left on the number line. −4 is less than −3, so it lies to the left of −3. The numbers −2, −1, and 0 all lie to the right.
Question 7 · Propertiesofnumbers
Which equation demonstrates the associative property of addition?
Answer: B. (3 + 5) + 7 = 3 + (5 + 7)
The associative property changes the grouping of the numbers but not their order. The equation 3 + 5 = 5 + 3 shows the commutative property instead.
Question 8 · The Order of Operations
Divide: 7/9 ÷ 14/27
Answer: B. 3/2
Multiply by the reciprocal: 7/9 × 27/14. Cancel common factors (7 with 14, and 9 with 27) to get 1/1 × 3/2 = 3/2, or 1 1/2.
Question 9 · Squareroots
What is √169?
Answer: B. 13
13 × 13 = 169, so √169 = 13.
Question 10 · Relationsandfunctions
Given the function f(x) = 4x − 1, find f(3).
Answer: D. 11
Substitute 3 for x: f(3) = 4(3) − 1 = 12 − 1 = 11.
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