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ISEE Lower Level Math : How to find the solution to an equation

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Example Questions

Example Question #21 : How To Find The Solution To An Equation

At the mall, Jason buys 2 pairs of jeans, costing $14 each, and a jacket. His total before tax is $42. How much does the jacket cost?

Possible Answers:

$10

$20

$12

$28

$14

Correct answer:

$14

Explanation:

The algebraic expression for the given information is:

2(14)+j=42 ,

with 2*14 representing the total cost for 2 pairs of jeans, and being the cost of the jacket.

28+j=42

j=42-28

j=14

The jacket costs 14 dollars.

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Example Question #22 : How To Find The Solution To An Equation

Solve for

4x-5=11

Possible Answers:

$\frac{2}{3}$

Correct answer:

Explanation:

First add 5 to both sides of the equation:

4x-5(+5)=11(+5)

4x=16

Divide both sides by 4:

$\frac{4x}{4}=\frac{16}{4}$

Reduce:

x=4

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Example Question #23 : How To Find The Solution To An Equation

Simplify

14x+3y-2x+4

Possible Answers:

15xy+4

20x+3y

16x+3y+4

12x+7y

12x+3y+4

Correct answer:

12x+3y+4

Explanation:

Group like terms:

(14x-2x)+3y+4

Combine:

12x+3y+4

Since nothing more can be combined, this is our answer.

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Example Question #24 : How To Find The Solution To An Equation

Which expression is equal to 15?

Possible Answers:

$(4\times 8)-5+3$

$4\times (8-5)+3$

$4\times (8-5+3)$

$4\times 8-(5+3)$

Correct answer:

$4\times (8-5)+3$

Explanation:

Keep in mind the order of operations for this problem. Always start with parentheses. There are no exponents here, so then move to multiplication and division, and finally to addition and subtraction.

$\left ( 4\times 8 \right )-5+3=30$

$4\times 8-\left ( 5+3 \right )=24$

$4\times \left ( 8-5+3 \right )=24$

$4\times \left ( 8-5 \right )+3=15$

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Example Question #25 : How To Find The Solution To An Equation

What is a reasonable estimate of $\frac{73\times 943}{25}$ ?

Possible Answers:

2200-2600

1700-2200

2600-3100

3100-3900

Correct answer:

2600-3100

Explanation:

Since multiplication and division have an equal status within the order of operations, we can start by dividing two of the elements (we don't have to multiply $73\times 943$ ). The first thing that should pop out is that $73\div 25$ equals a little less than .

Now we can estimate a reasonable range by multiplying by 900 and 1000 . That would give us an approximate range of 2700-3000. This estimate falls right in the middle of 2600-3100 , which is the correct answer.

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Example Question #26 : How To Find The Solution To An Equation

What is the value of

$20 \div 4 + 6 - 3^{2} + (2+2)^{2}-5\ ?$

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations for this problem:

parentheses: $20\div 4+6-3^{2}+4^{2}-5$

exponents: $20\div 4+6-9+16-5$

division and multiplication: 5+6-9+16-5

addition and subtraction: (now simply add and subtract from left to right!):

=13

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Example Question #27 : How To Find The Solution To An Equation

Solve for :

t + 28 = -15

Possible Answers:

t = -43

t = -13

t = -33

t = 13

t = 43

Correct answer:

t = -43

Explanation:

t + 28 = -15

t + 28 - 28 = -15- 28

t = -15- 28 = -15 + (-28) = - (15+28) = -43

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Example Question #28 : How To Find The Solution To An Equation

Solve for :

2.4 N = 39

Possible Answers:

N = 93.6

N = 14.25

N = 63.6

N = 16.25

N = 12.25

Correct answer:

N = 16.25

Explanation:

2.4 N = 39

$2.4 N \div 2.4 = 39 \div 2.4$

$N= 39 \div 2.4$

To divide, move the decimal point in both numbers right one place to make the divisor whole.

$N= 390 \div 24$

N = 16.25

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Example Question #29 : How To Find The Solution To An Equation

Solve for :

y - 34 = -19

Possible Answers:

y=-53

y =- 15

y = 53

y = -33

y = 15

Correct answer:

y = 15

Explanation:

y - 34 = -19

y - 34 +34= -19+34

y = -19+34 = + (34-19) = 15

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Example Question #30 : How To Find The Solution To An Equation

Solve for .

$-3x^{2}+5x-10=18$

Possible Answers:

Correct answer:

Explanation:

$-3(-4)^{2}+5(-4)-10=18$

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #21 : How To Find The Solution To An Equation

Example Question #22 : How To Find The Solution To An Equation

Example Question #23 : How To Find The Solution To An Equation

Example Question #24 : How To Find The Solution To An Equation

Example Question #25 : How To Find The Solution To An Equation

Example Question #26 : How To Find The Solution To An Equation

Example Question #27 : How To Find The Solution To An Equation

Example Question #28 : How To Find The Solution To An Equation

Example Question #29 : How To Find The Solution To An Equation

Example Question #30 : How To Find The Solution To An Equation

All ISEE Lower Level Math Resources

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