Free Printable Topical Test Linear Equation

Worksheets

Topical Test Linear Equation

Total questions: 50

Worksheet time: 3hrs 30mins

Name

Class

Date

What is the first step to solve this equation:
11 - 3x = 44

Add 3 to both sides

Subtract 11 from both sides

Add 11 to both sides

Divide 3 on both sides.

4 = 2(x + 3)

1/2

7/2

-1

Which equation has x=9 as a solution

4 + x = 12

5x = 45

2x = 20

x + 7 = 26

x + 9 = 18 + -2x

Sandy is upgrading her internet service. Comcast charges $60 for installation and $50.45 per month of service. AT&T has free installation but charges $57.95 per month. How many months would I have to have cable for to pay the same amount with both companies? Identify the equation that models this situation.

60x + 50.45 = 57.95

60x + 50.45 = 57.95x

60 + 50.45x = 57.95x

60x + 50.45x = 57.95x

Find the Error
What error did the student make when solving the equation:
⅕x + 6 = ⅗x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2

The student found an incorrect common denominator

The student did not multiply all terms by the common denominator

The student did not use opposite operations appropriately

The student did not correctly eliminate the variable from one side of the equation

Bob has $150 in his savings account and saves $40 per month.

y=150 + 40

y=40x + 150

y=150x + 40

x + 12 = 20

x = 32

x = -32

x = 8

x = -8

Solve the equation
3x = 27.

x = 24

x = 81

x = 9

x = 3

10.

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

11.

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

12.

If a system of linear equations has one solution, what does this mean about the two lines?

Parallel lines

the same line

Intersecting lines

13.

How can you tell if a point is a solution to a system?

It makes the first equation true.

The (x,y) coordinates satisfy both equations

It makes logical sense

It makes neither equation negative

14.

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

d + c = 174

4d + 2c = 50

d + c = 50

4d + 2c = 174

d + c = 50

2d + 4c = 174

d + c = 174

2d + 4c = 50

15.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

3x + 2y = 315
2x + 4y = 450

3x + 2y = 450
2x + 4y = 315

2x + 2y = 315
3x + 4y = 450

16.

A solution to a

system of linear equations

with two variables

is written as an ordered pair

( x, y ).

True

False

17.

^{What is the solution?}

-2

(1, 2)

(1, -1)

18.

Which of the following is not a linear equation?

3x - 1 = -2x

xy - 3 = x

(x-5)⁄7 = (x-2)⁄3

x + 2y = 10

19.

The number of solutions to a linear equation is _____

None of the above

20.

If 2x + 4 = x - 5, then x = ______

-9

-1

21.

Give the point of intersection for the simultaneous equations.

(3,1)

(1, 3)

(-1, 3)

(1, -3)

22.

How many solutions are there?

One Solution

Infinite Solutions

Zero Solutions

Two Solutions

23.

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

24.

Solve and find the value of k for the following simultaneous equations:

3h − k = 2

2h + k = 8

25.

Solve for y
8x + 2y = -10

y = -8x + 5

y = -4x - 5

y = -¹/₄ x - 10

y = -¹/₄ x - 5

26.

Solve:

3x + 2y = 15

7x + 2y = 19

x = 1

y = 6

x = -1

y = 6

x = 1

y = -6

x = -1

y = -6

27.

A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.

20 and 56

18 and 54

22 and 58

15 and 45

28.

Solve:

3x + 5y = 4

4x - 5y = -18

x = -2

y = 2

x = -2

y = -2

x = 2

y = -2

x = 2

y = 2

29.

Which are the correct ways to solve the equations using elimination method?

(you may choose more than one answer)

12x − 8y = −8 --- (1)

4x + 8y = 40 --- (2)

(1) + (2)

(1) - (2)

3 X (2) − (1)

3 X (2) + (1)

30.

Two integers have a sum of 16. One of the integer is four more than the other. Find the product of the two integers.

31.

Solve this equation

-3

-6

32.

Solve this equation

33.

What number did he think of ?

34.

The perimeter of the rectagle is 54 cm.

Find the area of rectangle?

130 cm²

180 cm²

270 cm²

540 cm²

35.

Solve these simultaneous equations

x = 3 and y = 10

x = 10 and y = 3

x = 4 and y = 9

x = 9 and y = 4

36.

Solve:

3x - y = 11

x + y = 5

x = 4

y = 1

x = 4

y = -1

x = -4

y = 1

x = -4

y = -1

37.

Solve:

2x + 3y = 5

x + 3y = 7

x = -2

y = 3

x = -2

y = -3

x = 2

y = 3

x = 2

y = -3

38.

Solve:

2x + 5y = 29

x + 5y = 22

x = 7

y = 3

x = -7

y = -3

x = 7

y = -3

x = -7

y = 3

39.

State the linear equation in one variable that suitable for this situation:

"The price of chicken is RMb per kilogram. Rozita bought 3 kg of chicken and made a total payment of RM21."

3 $+$ b = 21

3 $-$ b = 21

3 $\times$ b = 21

3 $\div$ b = 21

40.

State the linear equation in one variable that suitable for this situation:

"The price of an exercise book is thrice the price of a pen. Yahya buys 2 exercise books and 8 pens. She makes a payment of RM50 and received a balance of RM8."

50 + 8 = 14y

50 - 10y = 8

50 - 14y = 8

8 + 10y = 50

41.

Which of the following equations are linear equations in one variable?

$y^2+3y=1$

$3j+2=5$

$2(k–7)=k$

$p–4q=6$

42.

Which of the following equations are linear equations in two variables?

$\frac{y}{6}+4=–2x$

$5a^3–4=4b$

$3h–1=5k$

$k+1=6$

43.

Form a linear equation in two variables for the following situation:

"The sum of two numbers is 186."

$j+k=186$

$j-+k=186$

$j\times k=186$

$j\div k=186$

44.

Solve the following simultaneous linear equations.
(Write your answer as h=__, k=__)

h+k=3

3h+k=–1

(a)

45.

Solve the following simultaneous linear equations.
(Write your answer as u=__, v=__)

$5u–2v=–4$
$2u+5v=–19$

(a)

46.

The perimeter of a triangular flag is 100 cm. The length of two sides of the flag are the same. The sum of the two same-sided length of the flag exceeds the third length of the flag by 4 cm. Find the length of the shorter side of the flag.

(a)

47.

It is given 2m – n = 11 and m + 2n = –2. Calculate the value of m - n.

(a)

48.

It is given 2p + 5q = 63 and 7q + 4p = 105. Calculate the value of p x q.

(a)

49.

(a)

50.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

pencil: 13 cents

ruler: 23 cents

pencil: 15 cents

ruler: 23.50 cents

pencil: 12 cents

ruler: 25 cents

pencil: 18 cents

ruler: 26 cents

Reset

Topical Test Linear Equation

Total questions: 50

Worksheet time: 3hrs 30mins

Similar Resources on Wayground