Prentice Hall Algebra 1

Chapter 10 Radical Expressions and Equations > 10 Cumulative Test Prep

10 Cumulative Test Prep

Tips For Success

Some questions on tests ask you to perform operations on radicals. Read the sample question below. Then follow the tips to answer it.

Tip 1 Simplify each radical expression to see if you can obtain like radicals. Which expression is equivalent to 180 − 80 ? square root of 180 , minus square root of 80 . question mark

10
2 square root of 5
10 square root of 5
5 square root of 10

Tip 2 For any number a ≥ 0 , a 2 = a . eh greater than or equal to 0 comma . square root of eh squared end root , equals eh . . So look for perfect-square factors when trying to simplify a radical.

Think It Through

Simplify the expression.

180 − 80 = 36 ⋅ 5 − 16 ⋅ 5 = 36 ⋅ 5 − 16 ⋅ 5 = 6 5 − 4 5 = 2 5 table with 5 rows and 1 column , row1 column 1 , square root of 180 , minus square root of 80 , row2 column 1 , equals , square root of 36 dot 5 end root , minus , square root of 16 dot 5 end root , row3 column 1 , equals square root of 36 dot square root of 5 minus square root of 16 dot square root of 5 , row4 column 1 , equals 6 square root of 5 minus 4 square root of 5 , row5 column 1 , equals 2 square root of 5 , end table

The correct answer is B.

Vocabulary Builder

As you solve test items, you must understand the meanings of mathematical terms. Match each term with its mathematical meaning.

square root
arithmetic sequence
function
literal equation

a number pattern formed by adding a fixed number to each previous term
a relation that pairs each input value with exactly one output value
an equation involving two or more variables
a number a such that a 2 = b eh squared , equals b

Multiple Choice

Read each question. Then write the letter of the correct answer on your paper.

If the graph of the function y = x 2 − 6 y equals , x squared , minus 6 were shifted 3 units down, which equation could represent the shifted graph?
1. y = 3 x 2 − 6 y equals 3 , x squared , minus 6
2. y = x 2 − 3 y equals , x squared , minus 3
3. y = x 2 − 9 y equals , x squared , minus 9
4. y = 3 x 2 − 3 y equals 3 , x squared , minus 3
Which ordered pair is a solution of 3 x − y < 20 ? 3 x minus y less than 20 question mark
1. (7, 1)
2. (8, 0)
3. ( 5 , − 6 ) open 5 comma minus 6 close
4. ( − 1 , − 4 ) open negative 1 comma minus 4 close
Brianna has a cylindrical glass that is 15 cm tall. The diameter of the base is 5 cm. About how much water can the glass hold?
1. 75 cm 3 75 , cm cubed
2. 118 cm 3 118 , cm cubed
3. 295 cm 3 295 , cm cubed
4. 1178 cm 3 1178 , , cm cubed

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10 Cumulative Test Prep

Tips For Success

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