Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q20.

Expert-verified

Algebra 1

Found in: Page 151

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Evaluate $\frac{a - b}{c - d}$ for each set of values.
$a = - 3, b = 0, c = 3, d = - 1$

The value of expression is $- \frac{3}{4}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the concept used.

To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

Two numbers with similar sign always get added and the resulting number will carry the similar sign.
Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

The product/quotient of two similar sign numbers is always positive.
The product/quotient of two numbers with opposite signs is always negative.

Step 2. Substitute the values.

In order to calculate $\frac{a - b}{c - d}$ , substitute $- 3$ for a, 0 for b, 3 for c and $- 1$ for d.

$\frac{a - b}{c - d} = \frac{- 3 - 0}{3 - (- 1)}$

Step 3. Simplify the expression.

Evaluate the expression in numerator and denominator.

$\begin{matrix} \frac{a - b}{c - d} = \frac{- 3 - 0}{3 - (- 1)} \\ = \frac{- 3}{3 + 1} \\ = - \frac{3}{4} \end{matrix}$

Thus, the solution of the expression is $- \frac{3}{4}$ .

Most popular questions for Math Textbooks

Graph each ordered pair on a coordinate grid.

$(- 5, 5)$

A candle burns as shown in the graph.

If the height of the candle is 8 centimetres, approximately how long has the candle been burning?

A 0 hours

B 24 minutes

C 64 minutes

D $5 \frac{1}{2}$ hours

In this problem, you will explore $x$ - and $y$ - intercepts of graphs of linear equations.

a. If possible, use a straightedge to draw a line on a coordinate plane with each of the following characteristics.

b. For which characteristics were you able to create a line and for which characteristics were you unable to create a line? Explain.

c. What must be true of the $x$ - and $y$ - intercepts of a line?

Graph each ordered pair on a coordinate grid.

$(3, 0)$

Graph each equation.

$y = - 2 x$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free