Evaluate Expression Worksheet

Evaluate Expression Worksheet
  • Page 1
 1.  
Find the value of the expression n + 64 ÷ 45n, for n = 4.
a.
3
b.
2
c.
1
d.
4


Solution:

n + 64 ÷ 45n
[Original expression.]

4+64÷45(4)
[Substitute n = 4.]

= 4+165(4)
[Do the division in the numerator: 64 by 4.]

= 20 / 20
[Simplify the terms in the numerator and the denominator.]

= 1
[Divide.]

The value of the given expression is 1.


Correct answer : (3)
 2.  
The total surface area of a cuboid is given by the formula A = 2(lw + wh + lh). Find the height of a cuboid whose length is 60 cm, width is 50 cm, and total surface area is 14800 cm2.
a.
40 cm
b.
45 cm
c.
90 cm
d.
100 cm


Solution:

A = 2(lw + lh + wh)
[Given.]

A = 2lw + 2lh + 2wh
[Distributive property.]

A - 2lw = 2lh + 2wh
[Subtract 2lw from both sides.]

A - 2lw2(l+w) = h
[Divide both sides by 2(l + w).]

The formula is solved for h.

h = A - 2lw2(l+w)

h = 14800-(2×60×50)2(60+50)
[Substitute: A = 14800, l = 60, w = 50.]

h = 14800 - 6000220

h = 8800 / 220 = 40

The height of the cuboid is 40 cm.


Correct answer : (1)
 3.  
Total surface area of a cube is given by the formula, L = 6s2, where s is the side of the cube. Find the side of the cube, if the total surface area of the cube is known.
a.
L2
b.
2L
c.
L6
d.
6L


Solution:

L = 6s2
[Given.]

L / 6 = s2
[Divide both sides by 6.]

L6 = s2
[Take square root on both sides.]

L6 = s

So, the side of the cube = L6


Correct answer : (3)
 4.  
Solve 1f = 1u + 1v for u.
a.
u = fvv - f
b.
u = - 1f - 1v
c.
u = f - vfv
d.
u = f + vfv


Solution:

1f = 1u + 1v

1f - 1v = 1u
[Subtract 1v from both sides.]

v - ffv = 1u
[Simplify.]

fvv - f = u


Correct answer : (1)
 5.  
Solve the formula v = u + at for a. Indicate any restrictions on the values of the variables.
a.
a = u + vt, t ≠ 0
b.
a = (v + u)t, v ≠ 0
c.
a = v + ut, t ≠ 0
d.
a = v - ut, t ≠ 0


Solution:

v = u + at
[Given.]

v - u = at
[Subtract u from both sides.]

v - ut = a
[Divide both sides by t.]

a = v - ut
[Symmetry property.]

The solution is a = v - ut, t ≠ 0
[The solution must exclude values of a variable that make the denominator zero.]


Correct answer : (4)
 6.  
Solve P = 100I RT for I.
a.
I = 100PRT
b.
I = 100 + PRT
c.
I = PRT100
d.
I = 100PRT


Solution:

P = 100I / RT
[Given.]

PRT = 100I
[Multiply RT on both sides.]

PRT100 = I
[Divide both sides by 100.]

I = PRT100
[Property of Symmetry.]


Correct answer : (3)
 7.  
If 7n = 49, then find the value of n.
a.
5
b.
2
c.
125
d.
3


Solution:

7n = 49

7n = 72

n = 2
[Powers are equal, when bases are equal.]

So, the value of n is 2.


Correct answer : (2)
 8.  
Find the value of 83.
a.
4,096
b.
512
c.
64
d.
516


Solution:

83 = 8 × 8 × 8
[Write exponential expression in product form.]

= 512
[Simplify.]

So, the value of 83 is 512.


Correct answer : (2)
 9.  
A bus travels at a constant speed of 98 miles per hour. Find the distance traveled by the bus in 9 hours.
a.
3528 miles
b.
882 miles
c.
1764 miles
d.
4410 miles


Solution:

Total distance traveled by the bus in x hours = 98x

Distance traveled by the bus in 9 hours = 98 × 9 = 882 miles


Correct answer : (2)
 10.  
Jeff mows 4 lawns per day. He earns $1 mowing a lawn. How much will he earn, if he works for 4 days?
a.
$16
b.
$31
c.
$36
d.
$12


Solution:

Total amount earned per day = Number of lawns mowed × Amount earned per lawn

Amount earned per day = 4 × $1 = $4

Amount earned in x days = $4 × x

Amount earned in 4 days = $4 × 4 = $16

So, Jeff earns $16 if he works for 4 days.


Correct answer : (1)

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