Isolate "y" in a two-variable Equation or Inequality

1.

Multiple Choice

3 mins

1 pt

Given 4x + 3y = 24, what is the first step to isolate "y"?

Divide 24 by 3

Subtract 4x from both sides

Subtract 3y from both sides

Divide 24 by 4

2.

Multiple Choice

3 mins

1 pt

Solve for y:

8x-2y=-14

$y=-4x-7$

$y=4x+7$

$y=-4x+7$

not here

3.

Multiple Choice

3 mins

1 pt

Solve for y:

4x-2y=26

$y=2x-13$

$y=-2x+13$

$y=2x+26$

$y=\frac{1}{2}x-13$

4.

Multiple Choice

3 mins

1 pt

Isolate y:

5x+15y=-15

$y=\frac{1}{3}x$

$y=3x+30$

$y=-3x+1$

$y=-\frac{1}{3}x-1$

5.

Multiple Choice

3 mins

1 pt

What is the slope-intercept form of an equation, and what do the variables "m" and "b" mean?

$y=mx+b$ : "m" is the slope; "b" is the x-int

$y=mx+b$ : "m" is the slope; "b" is the y-int

$y=mx+b$ : "m" is the x-int; "b" is the y-int

$y=bx+m$ : "b" is the y-int; "m" is the slope

6.

Multiple Choice

3 mins

1 pt

Solve for y in the inequality:

4x+6y\le33

$y\ge-\frac{3}{2}x+8.25$

$y\le\frac{3}{2}x-5.5$

$y\le-\frac{2}{3}x+5.5$

7.

Multiple Choice

3 mins

1 pt

Before Jacqui began solving for y in $3x-12y>-36$ , she knew that the inequality symbol would flip in the answer. Why will it do that?

It will flip because she will subtract 3x in step 1.

It will flip because she will have to divide by -12 to isolate y.

It will flip because of the -36 on the right side.

It will flip because you must do that on all inequalities.

8.

Multiple Choice

5 mins

1 pt

If Standard Form is $Ax+By=C,$ and
Slope-Intercept Form is $y=mx+b,$
which statement is always true?

The slope, m, will always equal $\frac{-A}{B}.$

$B=b,$ because they are the same letter.

The y-intercept, b, will always equal $C-A.$

None of these are true.

9.

Multiple Choice

3 mins

1 pt

Solve for y:

$10x-8y>-40$

$y<\frac{5}{4}x+5$

$y>\frac{4}{5}x+5$

$y<-2x-4$

$y>2x+4$

10.

Multiple Choice

3 mins

1 pt

Convert to slope-intercept form:

$y-8=\frac{1}{4}\left(x+28\right)$

$y=\frac{1}{4}x-1$

$y=\frac{1}{4}x+15$

$y=\frac{1}{4}x+7$

$y=-2x-7$

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