Question 1

Evaluate the expression $$2x^2 + 3x$ for x = -3$.

Accepted Answer

Question 2

Simplify the expression $$8x - 4(x - 3y).$$

Accepted Answer

$$4x + 12y$$

Question 3

Solve for $$x$$: $$14 - 2x = -5x + 11.$$

Accepted Answer

$$x = 3$$

Question 4

Translate the phrase 'Five more than one-third of a number' into an algebraic expression.

Accepted Answer

$$\frac{1}{3}x + 5$$

Question 5

Raquelle bought two blouses for $$38 each and a pair of shoes for 49. $$She also wanted to buy some jewelry, which was $$11.50 for each item. If she brought 171 $$with her, how many pieces of jewelry could she buy?

Accepted Answer

$$3$$

Question 6

Solve for $$x$$: $$\frac{5}{11} = \frac{8}{x}.$$

Accepted Answer

$$x = \frac{88}{5}$$

Question 7

Solve and graph the inequality: $$5x + 2 \u003e 8x - 7.$$

Accepted Answer

$$x \u003c 3$$

Question 8

Which of the following is the correct equation of the line shown in the second image?

Accepted Answer

$$y = -x + 1$$

Question 9

Given the points $$(3, -12)$$ and $$(-4, 2)$$, what is the equation of the line passing through them in slope-intercept form?

Accepted Answer

$$y = -2x - 6$$

Question 10

Which point is plotted at $$(-6, 5) in $$the first image?

Accepted Answer

(c)

Question 11

Find the $$y-$$intercept of the line $$4x + 3y = 12.$$

Accepted Answer

$$y = 4$$

Question 12

Which equation describes a line parallel to $$y = 2x + 3$$ and passing through $$(1, -4)$$?

Accepted Answer

$$y = 2x - 6$$

Question 13

What is the slope of the line $$7x - 3y = 4$$?

Accepted Answer

$$\frac{7}{3}$$

Question 14

Which of the following is the $$x-$$intercept of the line $$y = 6 - 2x$$?

Accepted Answer

$$(3, 0)$$

Question 15

Which equation matches the third image (blue line)?

Accepted Answer

$$y = -2x + 4$$

Question 16

If a line is perpendicular to $$y = 5x$$ and passes through $$(4, -2)$$, what is its equation?

Accepted Answer

$$y = -\frac{1}{5}x - \frac{6}{5}$$

Question 17

Which of the following is the correct solution to the inequality $$0.4(2 - x) + 0.6 \u003e 0.2(x - 2)$$?

Accepted Answer

$$x \u003c 2$$

Question 18

Which equation matches the fourth image (green line)?

Accepted Answer

$$y = x - 6$$

Question 19

Given the equation $$y = \frac{3}{4}x + 1$$, what is the slope and $$y-$$intercept?

Accepted Answer

Slope: $$\frac{3}{4}$$, $$y-$$intercept: $$1$$

Question 20

Which equation matches the fifth image (orange line)?

Accepted Answer

$$y = -x$$

Algebra I Review: Real Numbers, Equations, and Graphing

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