MFM
1PI
Solving
Equations
Practice
Test
Part A: Answer the following questions in the space provided.
.
1
.
2.
An equation is like
To
To keep it balanced,
Solve an equation means
Part B: For full marks show all steps in the space provided.
3. Solve the following “one step” equations.
a) x+5=12
.
b) y—4=--9
c) —6w=—24
d) =—5
4. Solve the following “two step” equations.
a) 3x—6=12
b) 2x+5=—15
c) —13=3—8x
5. Solve the following “three step” equations.
a) 6x+3=4x+9
.
b) 6x—1=—2x—25
c) —7—5x=5+x
6. Solve the following equations by “simplifying first”.
a) 2x+3x+1=—4—5
b) —2x+7x—4=—2x+3x+20
c) 3x—5x=12—4x
d) 3(x+2)=—9
e) 4(x—7)=2(x—6)
f) 8—3x=4(x—3)+6
g)
4(x—2)—(x+3)= x—1
h) 12(x—1)—4(2x—1)= 2(x+1)
7. Using the Pythagorean Theorem find the value of the missing side ‘x’ to 1 decimal place if necessary.
X
b)
XL;
.
12
5
8. An 13 metre ladder is leaned against a wall. Ifthe “foot” ofthe ladder is 2 metres from the wall,
how high up on the wall will the ladder reach? Include a diagram in your solution.
9. The formula for the perimeter of a rectangle is P
10. The area of a triangle is given by the formula, A
=
=
2L + 2W find W ifthe P = 42 and L
,
.
Find h
,
if A
21 and b
8.
8.
MFM 1PI
So1vin Equations Practice Test
Part A: Answer the following questions in the space provided.
1
.
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An equation is like
.
To keep it balanced,
2. To Solve an equation means
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Part B: For full marks show all steps in the space provided.
3. Solve the following “one step” equations.
a) x+5=12
b) y—4=—9
c) —6w=—24
d) =—5
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4. Solve the following “two step” equations.
a) 3x—6=12
b) 2x+5=—15
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c) —13=3—8x
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5. Solve the following “three step” equations.
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b) 6x—1=—2x—25
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6. Solve the following equations by “simplifying first”.
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7. Using the Pythagorean Theorem find the value of the missing side ‘x’ to 1 decimal place if necessary.
a)
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,
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b)
12
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8. An 1 3 metre ladder is leaned against a wall. If the “foot” of the ladder is 2 metres from the wall,
how high up on the wall will the ladder reach? Include a diagram in your solution.
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9. The formula for the perimeter of a rectangle is P
=
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1 0. The area of a triangle is given by the formula, A
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=
.
Find h
,
if A
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