Linear Equations Questions for Tests and Worksheets

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Grade 7 Linear Equations

Which one shows "six less than a number is 17"?

6 - n = 17
n - 17 = 6
n + 6 = 17
n - 6 = 17

Grade 9 Linear Equations CCSS: HSA-REI.B.3

Find the value of

$x$ if

$6(2 - x) + 4x = -5(x + 3).$

-9/5
-7/3
-27/7
-9

Grade 6 Linear Equations

Solve:

$x-4=13$

$9$
$17$
$\frac{13}{4}$
$7$

Grade 10 Linear Equations CCSS: HSA-CED.A.2

What is the equation of a line with a slope of 5 and a y-intercept of 6?

y = 6x + 5
y = x + 5
y = 5x + 6
y = 5 + 6

Grade 9 Linear Equations CCSS: HSA-REI.A.1

A solution to the equation is given, except for one step. Choose the correct action for the missing step.

$3x+5 = x-1$

Step 1:	$\ \ \$	$\ \ \$
Step 2:	$3x$	$= \ \ x- 6$
Step 3:	$3x-x$	$= \ \ x-6-x$
Step 4:	$2x$	$= \ \ -6$
Step 5:	$(2x)/2$	$= \ \ (-6)/2$
Step 6:	$x$	$= \ \ -3$

Subtract 6 from the right hand side.
Remove 5 from the left hand side.
Add 5 to both sides.
Subtract 5 from both sides.

Grade 6 Linear Equations CCSS: 6.EE.B.7

9x = 54

x = 6
x = 45
x = 81
x = 7

Grade 8 Linear Equations

What is the slope in this equation?

$y = - 3x - 15$

-1
x
-3
15

Grade 9 Linear Equations CCSS: HSA-REI.B.3

Solve the equation

$m/10 = 4 .$

Grade 9 Linear Equations CCSS: HSA-REI.B.3

Solve for x in the equation.

$3x - 5 = -8 (6 + 5x)$

-1.7
-3/4
-1
18

Grade 6 Linear Equations

Solve the equation for the given variable.

$57=s-16$

Grade 9 Linear Equations CCSS: HSA-CED.A.2

What is the equation, in slope-intercept form, of the line with x-intercept -6 and y-intercept 2?

$y = 1/3x + 2$
$y = 3x + 6$
$y - 2 = 1/3(x+6)$
$y + 6 = 3(x - 2)$

Grade 6 Linear Equations

Write an equation equivalent to the verbal statement "seventeen is equal to eight times a number y."

17 = 8 + y
y = 25
17 = 8y
18 = 7y

Grade 9 Linear Equations CCSS: HSA-CED.A.1

The cost of a shirt is $11.99. When Ian pays for the shirt plus tax with a 20-dollar bill, he receives $7.30 in change. Which equation represents this situation if t is the tax on the shirt?

11.99 + t = 20.00 - 7.30
t - 11.99 = 20.00 - 7.30
11.99t = 20.00 - 7.30
20.00 - 11.99t = 7.30

Grade 9 Linear Equations CCSS: HSA-REI.B.3

Solve the equation

$c - 8 = 11$ .

11/8
3
19

Grade 9 Linear Equations CCSS: HSG-GPE.B.5

Write an equation in slope-intercept form for a line containing (3,2) and perpendicular to the line with equation y = -2x + 6.

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

Grade 10 Linear Equations

Which of the following equations is in slope-intercept form?

$y + 5 = 4x + 3$
$2y + x = -2$
$y-2 = 4 (x - 7)$
$y = 4x + 9$

Grade 11 Linear Equations CCSS: HSF-LE.A.1, HSF-LE.A.1a

Given the table below, which lists some of the values of the function

$f(x)$ , which of the following is true, and why?

$\ \ \ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \ \$
$0$	$-4$
$2$	$2$
$4$	$8$
$6$	$14$
$8$	$20$

$f(x)$ is linear, because the difference of y-values over equal intervals is constant.
$f(x)$ is linear, because the difference of x-values is constantly 2 units.
$f(x)$ is exponential, because the ratio of y-values over equal intervals is constant.
It cannot be determined whether $f(x)$ is linear or exponential, because there are no intervals of only one unit in the table.

Grade 8 Linear Equations

Write the following equation in y = mx + b form.

$8x + 2y = -14$

$y = -4x - 7$
$y = 8x - 14$
$y = 4x -14$
$y = -8x - 7$

Grade 7 Linear Equations CCSS: 7.EE.B.4, 7.EE.B.4a

4x + 6 = -10

1
-4
4
-1

Grade 9 Linear Equations

What is the equation of the line with a slope of 3 through (-1, 4)?

y + 4 = 3(x + 1)
y - 4 = 3(x + 1)
y - 4 = 3(x - 1)
y + 4 = 3(x - 1)
None of the above

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