Free Printable Variable Equations

1.

Which of the following is the correct substitution for y in the equation x = 2y if y = 3z?

a)

x = 2z

b)

x = 6z

c)

x = 3z

d)

x = z

2.

If a = b + c and b = 2d, what is a in terms of d and c?

a)

a = 2d + c

b)

a = d + c

c)

a = 2d - c

d)

a = d - c

3.

Given m = n - p and p = 4q, substitute p in the first equation.

a)

m = n - 4q

b)

m = n + 4q

c)

m = n - q

d)

m = n + q

4.

If x = 5y and y = 2z, what is x in terms of z?

a)

x = 10z

b)

x = 7z

c)

x = 3z

d)

x = 5z

5.

Given k = 3m and m = n + 1, what is k in terms of n?

a)

k = 3n + 1

b)

k = 3n + 3

c)

k = n + 3

d)

k = 3n - 1

6.

If a = 2b and b = 3c, what is a in terms of c?

a)

a = 5c

b)

a = 6c

c)

a = 2c

d)

a = 3c

7.

Given x = y + z and z = 2y, substitute z in the first equation.

a)

x = 3y

b)

x = y - 2y

c)

x = 2y + 2y

d)

x = y + y

8.

If p = 4q and q = r - 2, what is p in terms of r?

a)

p = 4r - 2

b)

p = 4r - 8

c)

p = r - 2

d)

p = 4r + 2

9.

Given s = t + u and u = 3v, what is s in terms of t and v?

a)

s = t + 3v

b)

s = t - 3v

c)

s = 3t + v

d)

s = t + v

10.

If x = 2y and y = 5z, what is x in terms of z?

a)

x = 10z

b)

x = 7z

c)

x = 2z

d)

x = 5z

11.

If a = 2b + 3c and b = d - c, what is a in terms of d and c?

a)

a = 2d + c

b)

a = 2d - c

c)

a = 2d + 3c

d)

a = 2d - 1c

12.

If m = 2n - p and p = n + 1, what is m in terms of n?

a)

m = 2n - n + 1

b)

m = 2n - n - 1

c)

m = n - 1

d)

m = n + 1

13.

Given k = 3m + 2n and m = n - 4, express k in terms of n.

a)

k = 3(n - 4) + 2n

b)

k = 3n + 2n - 4

c)

k = 3n + 2n - 12

d)

k = n - 12

14.

If x = 2y + 3z and z = y - 1, what is x in terms of y?

a)

x = 5y - 3

b)

x = 2y + 3y - 1

c)

x = 2y + y - 1

d)

x = 2y + 3y + 1

15.

If x = 2y + 3z and y = z + 1, what is x in terms of z?

a)

x = 5z+2

b)

x = 2z + 3(z + 1)

c)

x = 2z + 3z + 1

d)

x = 2z + 3z + 2

16.

Given a = 2b + 3c and b = c - 2, express a in terms of c.

a)

a = 5c - 4

b)

a = 2c + 3(c - 2)

c)

a = 2c - 2 + 3c

d)

a = 2c + 3c - 2

17.

What is the value of 2a - 3b + 6 when a = 2 and b = -5?

18.

Evaluate $y\ =\ 3x\ -\ 8$ for $x\ =\ 10$

19.

Evaluate 2x + 5y - 4 when x = 11 and y = 3

20.

Evaluate $2y\ =\ 2x\ +\ 4$ for $x\ =\ 1$

21.

Evaluate the expression

$x^2-3y+12$ when $x=-2$ and $y=5$ .

22.

Evaluate 8.7j – 9.8k when j = 7 and k = 8.

23.

Solve for $x$ : $2x + 3 = 7$

a)

$x = 1$

b)

$x = 2$

c)

$x = \frac{7}{2}$

d)

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

24.

Solve for $x$ : $x^2 - 4x + 4 = 0$

a)

$x = 2$

b)

$x = -2$

c)

$x = 4$

d)

$x = 0$

25.

If $3x - 7 = 2x + 5$ , what is the value of $x$ ?

a)

12

b)

-12

c)

10

d)

-10

26.

What is the solution to the equation $\frac{1}{2}x + 3 = \frac{3}{4}x - 2$ ?

a)

20

b)

-20

c)

10

d)

-10

27.

Solve for x. g=mx+j

a)

x = g / (m + j)

b)

x = (g - j) / m

c)

x = j / m - g

d)

x = g - j + m

28.

Solve for l. jk=lol

a)

$l=\sqrt[]{jk\cdot o}$

b)

$l=\sqrt[]{\frac{jk}{o}}$

c)

l = jk - o²

d)

l = jk² + o

29.

Solve for e. Por=que

a)

e = Por + qu

b)

e = Por * qu

c)

e = Por - qu

d)

e = Por/qu

30.

Solve for h. g=mx + y/h

a)

h = g - (mx/y)

b)

h = y/(g - mx)

c)

h = (y + mxh) / g

d)

h = y/g + mx

31.

Solve for m. $g=\frac{m_{ }+k_{ }}{h}$

a)

m = k - gh

b)

m = gh - k

c)

m = gh + k

d)

m = rac{g}{h} - k

32.

Evaluate 8.7j – 9.8k when j = 7 and k = 4.

33.

Solve for s. n=frog-dogs

a)

s = dogs - n

b)

$s=\frac{fr-n}{d}$

c)

s = $s=\frac{n-fr}{dog}$

d)

s = n - fr/d

Variable Equations

Total questions: 33

Worksheet time: 22mins

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