Grade 8 · Math

8th grade Is this point a solution of the equation? worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Is this point a solution of the equation?

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

The rule is y = 2 × x + 3. Milo's line is y = 2x + 3. The point (4, ?) is on the line. What number goes in place of the ?
The rule is y = 3 × x + 1. Noah's line is y = 3x + 1. The point (5, ?) is on the line. What number goes in place of the ?
The rule is y = 3 × x + 5. Pia's line is y = 3x + 5. The point (4, ?) is on the line. What number goes in place of the ?
The rule is y = 7 × x + 2. Ren's line is y = 7x + 2. The point (3, ?) is on the line. What number goes in place of the ?
5.
From 2 × 3 + 5 = 11. Tala wonders whether (3, 11) is a solution of y = 2x + 5. The figure shows what the rule gives for x = 3. Is it a solution?
- Yes
- No
- Cannot tell without a graph
6.
From 3 × 4 + 2 = 14. Zee wonders whether (4, 12) is a solution of y = 3x + 2. The figure shows what the rule gives for x = 4. Is it a solution?
- No
- Yes
- Cannot tell without a graph
7.
From 5 × 2 + 3 = 13. Bo wonders whether (2, 10) is a solution of y = 5x + 3. The figure shows what the rule gives for x = 2. Is it a solution?
- Cannot tell without a graph
- No
- Yes
Read this first
Input–output table
x y
0 1
1 3
2 5
3 7
4 9
Rows from the rule.
8.
Esme's line is y = 2x + 1. The table shows rows of the rule. Which point is a solution?
- (7, 3)
- (3, 3)
- (3, 7)
- (3, 5)
9.
Jun's line is y = 3x + 2. The table shows rows of the rule. Which point is a solution?
- (2, 8)
- (2, 2)
- (8, 2)
- (2, 5)
10.
Kira's line is y = 5x + 1. The table shows rows of the rule. Which point is a solution?
- (3, 16)
- (3, 3)
- (3, 11)
- (16, 3)

x	y
0	1
1	3
2	5
3	7
4	9

8th grade Is this point a solution of the equation? worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Is this point a solution of the equation?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can tell whether a point (x, y) is a solution of y = mx + b by putting x in and comparing with y.
I can find the missing coordinate of a solution, and the missing number in an equation from one solution.
I can say that a line has endlessly many solutions, one at every point.

Standard: 8.EE.C.8a (partial: a point that satisfies an equation; the system part is row 21), 8.F.A.3 (partial); Grade 6 base: 6.EE.B.5

Words to know

solution: A point (x, y) that makes the equation true.

substitute: Put a number in place of a letter.

ordered pair: Two numbers (x, y): x first, y second.

rule: y = mx + b: put x in to get y.

on the line: A point whose x and y fit the equation.

Common mistakes

Your child left out the added number in the rule.

Your child put the numbers of the point in the wrong places.

Your child lost a minus sign while putting the point into the rule.

What to say

Ask: what do you get when you put x in? Did you use the whole rule?

Ask: in (3, 7), which number is x and which is y?

Ask: which numbers in the rule are negative?

Questions parents ask

What is the most common mistake with is this point a solution of the equation??

Your child left out the added number in the rule.

How can I help my child with is this point a solution of the equation??

Ask: what do you get when you put x in? Did you use the whole rule?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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