Question

Which number line is the correct solution to y z l?

-5
43 -2 -1 0
1
2
3
4
5
B
-5
4 -3 -2
-
0
2
3
5
4
-5
-3
-2 -1
o
2
3
D
-5 4 3 2 1
2

Answer 1

9514 1404 393

Answer:

1. A
2. C
3. D
4. A

Explanation:

These state exam questions are checking that you know certain things about linear equations and inequalities, and how to solve and graph them. It is also checking that you now the meanings of certain math terms and can translate those meanings to relationships between numbers.

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1. The "slope-intercept form" of a linear equation is ...

y = mx + b . . . . . . where m is the slope and b is the y-intercept

Note that the left side is "y =", eliminating the last two answer choices.

The problem tells you the slope is m = 2, and the y-intercept is b = 5. Then the equation is ...

y = 2x + 5 . . . . matches A

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2. The picture is fuzzy, but we think it says y ≥ 1. The little bar in the comparison symbol means "or equal to", so you're looking for a graph that shows numbers greater than or equal to 1. The "or equal to" means the end dot on the graph will not be an open circle, but will be a solid dot. The "greater than" means the shaded part of the line is to the right of that dot.

graph C is the appropriate representation

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3. The picture is fuzzy, but we think it says 126 < -7x. For this sort of inequality, you are expected to know that multiplying or dividing by a negative number will reverse the inequality symbol.

126 < -7x . . . . given

126/-7 > x . . . . divide both sides by the coefficient of x, -7

-18 > x . . . . . matches D

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4. This is a vocabulary question. Angles are "complementary" when their sum is 90°. The sums of the given angle pairs are ...

A: 90° . . . . the correct answer choice

B: 100°

C: 180°

D: 185°