Grade 8 · Math

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

6 printable versionsChallenge Me10 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 - Challenge Me

NameDate

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

1.
Pia checks the point (3, -2) on the line 2x + 3y = 0. Is (3, -2) a solution?
- Yes
- No
- Cannot tell without a graph
2.
Ren checks the point (4, 1) on the line 3x − 2y = 10. Is (4, 1) a solution?
- Cannot tell without a graph
- No
- Yes
3.
Tala checks the point (5, 2) on the line x + 4y = 7. Is (5, 2) a solution?
- Cannot tell without a graph
- Yes
- No
4.
Zee checks the point (2, 6) on the line 5x − y = 4. Is (2, 6) a solution?
- No
- Cannot tell without a graph
- Yes
Esme's line is y = kx + 1, and the point (2, 7) is a solution. What is k?
Luz's line is y = 3x + c, and the point (4, 17) is a solution. What is c?
7.
First rows. Noah's line is y = -x + 5. How many points (x, y) are solutions of the equation?
- Infinitely many: every point on the line
- Only the points in the table
- None of them
- Exactly one point
8.
Ren's graph is a straight line through (0, -1) and (3, 5). Is the point (4, 8) on the line?
- Cannot tell without a graph
- No
- Yes
9.
Tala's graph is a straight line through (1, 4) and (3, 10). Is the point (6, 18) on the line?
- No
- Cannot tell without a graph
- Yes
10.
Zee's graph is a straight line through (0, -2) and (4, 6). Is the point (7, 12) on the line?
- Cannot tell without a graph
- No
- Yes

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

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

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.

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.

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?

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.

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