Question 1

What is the numerical coefficient of the term $-8x$?

Accepted Answer

$-8$

Question 2

Simplify the expression by combining like terms: $3x + 5x$

Accepted Answer

$8x$

Question 3

Which of the following is an algebraic expression for 'the sum of a number and 7'?

Accepted Answer

$x + 7$

Question 4

Simplify the expression using the distributive property: $2(x + 4)$

Accepted Answer

$2x + 8$

Question 5

What is the numerical coefficient of the term $-12y$?

Accepted Answer

$-12$

Question 6

Simplify the expression by combining like terms: $7a - 3a + 2$

Accepted Answer

$4a + 2$

Question 7

Write the following phrase as an algebraic expression and simplify if possible: 'Three-fifths of a number, increased by two.' Let $x$ represent the unknown number.

Accepted Answer

$\frac{3}{5}x + 2$

Question 8

Simplify the expression using the distributive property: $5(2x - 3)$

Accepted Answer

$10x - 15$

Question 9

Combine like terms in the expression: $4y + 7 - 2y + 3$

Accepted Answer

$2y + 10$

Question 10

Which of the following expressions represents 'the product of 6 and the sum of a number and 5'?

Accepted Answer

$6(x + 5)$

Question 11

Simplify the expression: $3(x + 2) - 4x$

Accepted Answer

$-x + 6$

Question 12

Which of the following is the correct simplification of $2(3x - 4) + 5x$?

Accepted Answer

$11x - 8$

Question 13

A chemist mixes $2x$ grams of substance A with $5x$ grams of substance B. What is the total mass of the mixture?

Accepted Answer

$7x$ grams

Question 14

Simplify the expression: $4(2x + 1) - 3(x - 2)$

Accepted Answer

$5x + 10$

Question 15

Which of the following is the correct algebraic expression for 'the difference between twice a number and 9'?

Accepted Answer

$2x - 9$

Foundations of Algebra: Numerical Coefficients, Simplifying Expressions, and Translating Word Problems

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