HESI A2 Math Diagnostic Test (50 Questions)
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HESI A2 Math Diagnostic Test (50
Questions) full Answers
Question 1 of 50
Solve for
x
:
5(4x+3)–4(2x+1)=47
x = 12
x = 36
x = 20
x=3
End Quiz
Answer Explanation
Answer:
x=3
Step 1: Apply the distributive law
The first step is to expand the terms
5(4x+3)
and
4(2x+1)
by distribution so
5(4x+3)–4(2x+1)=47
becomes
20x+15–8x–4=47
Step 2: Combine like terms
We can then collect like terms in:
20x–8x+15–4=47
12x+11=47
Step 3: Subtract 11 on both sides
We then have to subtract 11 on both sides to isolate the term with
x
HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
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,HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
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.
12x+11–11=47–11
12x=36
Step 4: Divide by 12 on both sides
We then divide both sides of the equation by 12 to isolate
x
.
12x
12
=
36
12
1x=3
We can drop the 1 on the left-hand side to
x=3
x=3
is the solution of the equation.
Question 2 of 50
Solve for
x
:
4
x
2
–61=135
x=7
x=14
or
−14
x=−7
or
7
x=14
End Quiz
HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
(1).pdf Test (50 Questions)
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Math Diagnostic
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,HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
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Math Diagnostic
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Answer Explanation
Answer:
x=7
or
−7
Step 1: Add 61 on both sides
The first step in solving this problem is to add 61 from both sides of the equation.
4
x
2
–61+61=135+61
You should then carry out the addition of the numbers on both sides of the
equation.
4
x
2
=196
Step 2: Divide by 4 on both sides
We then divide both sides of the equation by 4.
4
x
2
4
=
196
4
x
2
=49
Step 3: Take the square root on both sides
The final step is to take the square root on both sides to solve for
x
.
x
2
HESI A2 Math Diagnostic Test (50 Questions)
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=49
x
2
−
−
√
=
49
−
−
√
x=7
or
–7
If you are asking WHY the -7 gets included as well, it’s because any
negative number squared, is positive.
7×7=49
But so does:
−7×−7=49
Since both options work, we have to include both.
Question 3 of 50
Jordy buys 5 lottery tickets for $17.50.
How much would Jordy pay if he wanted to buy 7 lottery
tickets?
$28
$24.50
$25
$32.50
End Quiz
Answer Explanation
Answer: $24.50
This is a proportion problem and the given information allows us to formulate the
equation below:
5tickets
HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
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HESI A2 Math Diagnostic Test (50
Questions) full Answers
Question 1 of 50
Solve for
x
:
5(4x+3)–4(2x+1)=47
x = 12
x = 36
x = 20
x=3
End Quiz
Answer Explanation
Answer:
x=3
Step 1: Apply the distributive law
The first step is to expand the terms
5(4x+3)
and
4(2x+1)
by distribution so
5(4x+3)–4(2x+1)=47
becomes
20x+15–8x–4=47
Step 2: Combine like terms
We can then collect like terms in:
20x–8x+15–4=47
12x+11=47
Step 3: Subtract 11 on both sides
We then have to subtract 11 on both sides to isolate the term with
x
HESI A2 Math Diagnostic Test (50 Questions)
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A2Answers
Math Diagnostic
(1).pdf Test (50 Questions)
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Math Diagnostic
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,HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
(1).pdf Test (50 Questions)
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Math Diagnostic
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.
12x+11–11=47–11
12x=36
Step 4: Divide by 12 on both sides
We then divide both sides of the equation by 12 to isolate
x
.
12x
12
=
36
12
1x=3
We can drop the 1 on the left-hand side to
x=3
x=3
is the solution of the equation.
Question 2 of 50
Solve for
x
:
4
x
2
–61=135
x=7
x=14
or
−14
x=−7
or
7
x=14
End Quiz
HESI A2 Math Diagnostic Test (50 Questions)
HESIfull
A2Answers
Math Diagnostic
(1).pdf Test (50 Questions)
HESIfull
A2Answers
Math Diagnostic
(1).pdf Test (50 Questions) full Answers (1).pdf
,HESI A2 Math Diagnostic Test (50 Questions)
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A2Answers
Math Diagnostic
(1).pdf Test (50 Questions)
HESIfull
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Math Diagnostic
(1).pdf Test (50 Questions) full Answers (1).pdf
Answer Explanation
Answer:
x=7
or
−7
Step 1: Add 61 on both sides
The first step in solving this problem is to add 61 from both sides of the equation.
4
x
2
–61+61=135+61
You should then carry out the addition of the numbers on both sides of the
equation.
4
x
2
=196
Step 2: Divide by 4 on both sides
We then divide both sides of the equation by 4.
4
x
2
4
=
196
4
x
2
=49
Step 3: Take the square root on both sides
The final step is to take the square root on both sides to solve for
x
.
x
2
HESI A2 Math Diagnostic Test (50 Questions)
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A2Answers
Math Diagnostic
(1).pdf Test (50 Questions)
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Math Diagnostic
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, HESI A2 Math Diagnostic Test (50 Questions)
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Math Diagnostic
(1).pdf Test (50 Questions)
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Math Diagnostic
(1).pdf Test (50 Questions) full Answers (1).pdf
=49
x
2
−
−
√
=
49
−
−
√
x=7
or
–7
If you are asking WHY the -7 gets included as well, it’s because any
negative number squared, is positive.
7×7=49
But so does:
−7×−7=49
Since both options work, we have to include both.
Question 3 of 50
Jordy buys 5 lottery tickets for $17.50.
How much would Jordy pay if he wanted to buy 7 lottery
tickets?
$28
$24.50
$25
$32.50
End Quiz
Answer Explanation
Answer: $24.50
This is a proportion problem and the given information allows us to formulate the
equation below:
5tickets
HESI A2 Math Diagnostic Test (50 Questions)
HESIfull
A2Answers
Math Diagnostic
(1).pdf Test (50 Questions)
HESIfull
A2Answers
Math Diagnostic
(1).pdf Test (50 Questions) full Answers (1).pdf
