$$2^3$$ + | -5 | \times 2 = 8 + 5 \times 2 = 8 + 10 = 18$$

$$y = 2x + 1$$ \newline y = 2x - 3$

Question 1

Which of the following correctly evaluates the expression $$2^3$$ + | -5 | 	imes 2$$ using the order of operations?

Accepted Answer

$$2^3$$ + | -5 | 	imes 2 = 8 + 5 	imes 2 = 8 + 10 = 18$$

Question 2

Solve the linear equation $$5x - 3 = 2x + 9$$ for $$x.$$

Accepted Answer

$$x = 4$$

Question 3

A rectangle has a perimeter of $$36$$ inches. If the length is $$10$$ inches, what is the width?

Accepted Answer

$$8$$ inches

Question 4

Solve the inequality $$-3x + 7 \u003c 1$$ and express the solution in interval notation.

Accepted Answer

$$x \u003e 2$$

Question 5

Which phrase best translates to the inequality $$x \geq 12$$?

Accepted Answer

"At least 12"

Question 6

What is the slope of the line passing through the points $$(2, 5)$$ and $$(6, 13)$$?

Accepted Answer

$$m = 2$$

Question 7

Which equation is in point-slope form for a line passing through $$(3, -2)$$ with slope $$4$$?

Accepted Answer

$$y + 2 = 4(x - 3)$$

Question 8

Simplify the expression $$\frac{3^4$ 	imes 3^2$}{3^3$}$$ using exponent rules.

Accepted Answer

$$3^3 = 27$

Question 9

Convert $$0.00056 to $$scientific notation.

Accepted Answer

$$5.6 	imes 10$$^{-4}$$

Question 10

Which of the following systems of equations is inconsistent?

Accepted Answer

$$y = 2x + 1$$ 
ewline y = 2x - 3$

Question 11

Solve the system of equations by substitution: $$y = 2x - 1$$ and $$x + y = 7.$$

Accepted Answer

$$(2, 3)$$

Question 12

Which of the following is a binomial?

Accepted Answer

$$x^2 + 3x$

Question 13

Add the polynomials: $$(2x^2 + 3x - 5$$) + $$(x^2 - 2x + 7$$)$$.

Accepted Answer

$$3x^2 + x + 2$

Question 14

Multiply: $$(x + 2)(x - 3).$$

Accepted Answer

$$x^2 - x - 6$

Question 15

Multiply the special product: $$(x + 4)^2$.

Accepted Answer

$$x^2 + 8x + 16$

Question 16

Divide the polynomial $$6x^3$$ - $$12x^2 + 18x$ by 3x$.

Accepted Answer

$$2x^2 - 4x + 6$

Question 17

Factor the trinomial $$x^2 + 5x + 6$.

Accepted Answer

$$(x + 2)(x + 3)$$

Question 18

Factor the trinomial $$3x^2 + 11x + 6$.

Accepted Answer

$$(3x + 2)(x + 3)$$

Question 19

Factor the difference of squares $$16x^2 - 25$.

Accepted Answer

$$(4x + 5)(4x - 5)$$

Question 20

Solve the quadratic equation $$x^2 - 7x + 12 = 0$ by factoring.

Accepted Answer

$$x = 3 or$$ $$x = 4$$

Beginning Algebra Midterm Study Guide

Study Guide - Practice Questions