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ISEE Lower Level Quantitative : Equations

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

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #51 : Equations

What is the value of the expression?

(5+3) * 2

Possible Answers:

Correct answer:

Explanation:

First you add what is inside the parentheses.

5+3=8 .

Then, we multiply,

8*2 .

This leaves us with our answer of 16.

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Example Question #52 : Equations

A pencil costs $1.03 and Elena wants to purchase 386 pencils. Which expression gives the best estimate of the total cost of Alex's purchase in dollars?

Possible Answers:

130*100

130*400

10*380

1*400

1*40

Correct answer:

1*400

Explanation:

To solve, we round $1.03 to $1.00 and round 386 pencils to 400.

Then we would multiply to find the answer, so 1*400 would give us the best estimate.

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Example Question #53 : Equations

Find the value of the expression.

(8-6)/2

Possible Answers:

Correct answer:

Explanation:

To solve the expression, you must first solve inside the parentheses, so

8-6=2 .

Then we divide 2 by 2 and are left with our answer, 1.

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Example Question #54 : Algebraic Concepts

Caitlin received $\small x$ tickets to a concert for Friday night. She divides them equally among herself and her four friends. Which of the following expressions shows the number of tickets each person received?

Possible Answers:

$\frac{x}{4}$

x-5

x-4

$x\cdot 5$

$\frac{x}{5}$

Correct answer:

$\frac{x}{5}$

Explanation:

Including Caitlin, there are 5 total people receiving tickets.

If she is going to divide them among her friends, then we would use division,

$\frac{\text{Number of Tickets}}{\text{Number of People}}=\frac{x}{5}$

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Example Question #55 : Algebraic Concepts

Solve for $\small x$ .

$\small 4x+2x-x=15$

Possible Answers:

$\small x=2$

$\small x=4$

$\small x=1$

$\small x=3$

$\small x=5$

Correct answer:

$\small x=3$

Explanation:

First we add and are left with

$\small 6x-x=15$ .

Then we subtract and are left with

$\small 5x=15$ .

Finally, in order to get the $\small x$ alone, we divide each side by 5 and are left with

$\small x=3$ .

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Example Question #56 : Algebraic Concepts

Solve for $\small x$ .

$\small \small 1+3+(8-2)*2=x$

Possible Answers:

$\small x=12$

$\small x=13$

$\small x=16$

$\small x=20$

$\small x=19$

Correct answer:

$\small x=16$

Explanation:

Following the order of operations, we must do the work inside the parentheses first, so we are left with

$\small 1+3+6*2=x$ .

Then we must multiply and are left with

$\small 1+3+12=x$ .

Finally

$\small 4+12=x$ .

$\small x=16$ .

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Example Question #57 : Equations

Five more than a number is equal to $\frac{3}{5}$ of twenty-five . What is the number?

Possible Answers:

Correct answer:

Explanation:

From the question, we know that plus a number equals $\frac{3}{5}$ of . In order to find out what $\frac{3}{5}$ of is, multiply $\frac{3}{5}$ by $\frac{25}{1}$ .

$\frac{3}{5}\times\frac{25}{1}=\frac{75}{5}$ , or .

The number we are looking for needs to be five less than , or .

You can also solve this algebraically by setting up this equation and solving:

$5+x=\frac{3}{5}\times25$

5+x=15

Subtract from both sides of the equation.

x=10

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Example Question #51 : Equations

Solve for :

14x - 6=64

Possible Answers:

Correct answer:

Explanation:

To solve an equation, first combine like terms. Move the over to the other side of the equation by adding :

14x - 6=64

+6=+6

14x=70

Next, remove the from the variable by dividing by .

$\frac{14x}{14}=\frac{70}{14}\rightarrow x=5$

The answer is .

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Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade turnips for ears of corn. If a man has ears of corn, then how many turnips can he get?

Possible Answers:

$43\ \text{turnips}$

$39\ \text{turnips}$

$22\ \text{turnips}$

$94\ \text{turnips}$

$93\ \text{turnips}$

Correct answer:

$39\ \text{turnips}$

Explanation:

Ratios can be written in the following format:

$A:B\rightarrow \frac{A}{B}$

Using this format, substitute the given information to create a ratio.

$3\ \text{corn}: 13\ \text{turnips}$

Rewrite the ratio as a fraction.

$3\ \text{corn}: 13\ \text{turnips}\rightarrow \frac{3\ \text{corn}}{13\ \text{turnips}}$

We know that the farmer has ears of corn. Create a ratio with the variable that represents how many turnips he can get.

$\frac{9\ \text{corn}}{T}$

Create a proportion using the two ratios.

$\frac{3\ \text{corn}}{13\ \text{turnips}}=\frac{9\ \text{corn}}{T}$

Cross multiply and solve for .

$9\ \text{corn}\times 13\ \text{turnips}=3\ \text{corn}\times T$

Simplify.

3T=117

Divide both sides of the equation by .

$\frac{3T}{3}=\frac{117}{3}$

Solve.

T=39

The farmer can get $39\ \text{turnips}$ .

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Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

At a local market, farmers trade produce to obtain a more diverse crop. A farmer will trade turnips for ears of corn. If a man has ears of corn, then how many turnips can he get?

Possible Answers:

$87\ \text{turnips}$

$127\ \text{turnips}$

$111\ \text{turnips}$

$117\ \text{turnips}$

$171\ \text{turnips}$

Correct answer:

$117\ \text{turnips}$

Explanation:

Ratios can be written in the following format:

$A:B\rightarrow \frac{A}{B}$

Using this format, substitute the given information to create a ratio.

$3\ \text{corn}: 13\ \text{turnips}$

Rewrite the ratio as a fraction.

$3\ \text{corn}: 13\ \text{turnips}\rightarrow \frac{3\ \text{corn}}{13\ \text{turnips}}$

We know that the farmer has ears of corn. Create a ratio with the variable that represents how many turnips he can get.

$\frac{27\ \text{corn}}{T}$

Create a proportion using the two ratios.

$\frac{3\ \text{corn}}{13\ \text{turnips}}=\frac{27\ \text{corn}}{T}$

Cross multiply and solve for .

$27\ \text{corn}\times 13\ \text{turnips}=3\ \text{corn}\times T$

Simplify.

3T=351

Divide both sides of the equation by .

$\frac{3T}{3}=\frac{351}{3}$

Solve.

T=117

The farmer can get $117\ \text{turnips}$ .

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Equations

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #51 : Equations

Example Question #52 : Equations

Example Question #53 : Equations

Example Question #54 : Algebraic Concepts

Example Question #55 : Algebraic Concepts

Example Question #56 : Algebraic Concepts

Example Question #57 : Equations

Example Question #51 : Equations

Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

Example Question #1 : Solve Unit Rate Problems: Ccss.Math.Content.6.Rp.A.3b

All ISEE Lower Level Quantitative Resources

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