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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