Free Printable Year 7 Algebra Practice Test

1.

$18-2\times\left(3+1\right)-6=$

a)

30

b)

4

c)

7

d)

-4

2.

$4\div4+4\times4-4=$ Solve the following equation:

(a)

3.

Rewrite the following in Index notation: $4\times4\times4\times4\times5\times4\times5\times5$

a)

$4^5+5^3$

b)

$4^5\times5^3$

c)

$3^5\times5^4$

d)

$3^5+5^4$

4.

Rewrite the following in Expanded notation:
$2^2x^3y^2$

a)

$4\times3\times5\times x\times y$

b)

$4\times x\times x\times y\times y\times y$

c)

$2\times2\times x\times x\times x\times y\times y$

d)

$4\times x\times x\times x\times y\times y$

5.

What is the square of -3?

(a)

6.

What is $\sqrt{144}$ ?

(a)

7.

Which of the following is true?

a)

$3\times4\div6=6\times3\div4$

b)

$3\times\left(2-1\right)=3\times2-3\times1$

c)

$\left(6\div3\right)\times2=6\div\left(3\times2\right)$

d)

$2+6+198=198+6+2$

8.

Consider the following:
$y=4x-7$

Is this an equation or an expression?

a)

Equation

b)

Expression

9.

Consider the following:
$y=3x-7$

What are the variables?

(a)

10.

Consider the following:
$y=3x-7$

What is the coefficient of x?

(a)

11.

Consider the following:
$y=3x-7$

What is the constant?

(a)

12.

Which expression shows the difference between x and 8, multiplied by 4?

a)

$4\left(x+8\right)$

b)

$x-\left(4\times8\right)$

c)

$\frac{x}{4}-8$

d)

$4\left(x-8\right)$

13.

What expression would show the product of f and twelve?

(a)

14.

Select all the correct answers:

"A takeaway purchase of 3 hotdogs and 4 hamburgers totals $20"

The following equation represents the scenario: $3x+4y=20$

a)

x represents the cost of a hamburger

b)

y represents the cost of a hamburger

c)

x represents the cost of a hotdog

d)

y represents the cost of a hotdog

15.

"Ellie (x) has twice as many cousins as her friend Peter (y)"

Which of the following equations can represent this scenario?

a)

$x=2y$

b)

$y=2x$

c)

$y=\frac{x}{2}$

d)

$x=\frac{2}{y}$

16.

Let's say that the following equation shows that Ellie has twice as many cousins as Peter, where Ellie's cousins are represented by y and Peter's by x:
$y=2x$

How many cousins does Peter have if Ellie has 46?

(a)

17.

Let's say that the following equation shows that Ellie has twice as many cousins as Peter, where Ellie's cousins are represented by y and Peter's by x:
$y=2x$

How many cousins does Ellie have if Peter has 46?

(a)

18.

Find the value of x if:
$6\left(x-4\right)=12$

(a)

19.

Find the value of x if:
$\frac{x+2}{3}+4=8$

(Hint - Create a flowchart and use inverse operations to find the answer)

(a)

20.

Which mathematical equation represents the following scenario?

"I am thinking of a number, when I add 5 to the number and divide the result by 6, the answer is 2. What number am I thinking of?"

a)

$\frac{x+5}{6}=2$

b)

$x+5\div6=2$

c)

7

21.

Lucas is completing a 1.6 km race at the sports carnival. He is x meters away from the finish line. Which expression represents how far he has already run?

a)

$1.6-x$

b)

$1600+x$

c)

$160-x$

d)

$1600-x$

Year 7 Algebra Practice Test

Total questions: 21

Worksheet time: 2hrs 45mins

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