cahsee-number-sense-part-iv-31-to-38-math-practice-problems

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QuestionsNUMBER SENSE The following ten California mathematics academic content standards from the Number Sense strand are assessed on the CAHSEE by 14 test questions and are represented in this booklet by 38 released test questions. These questions represent only a few of the ways in which these standards may be assessed on the CAHSEE.

— 2 —This is a sample of California High School Exit Examination questions. This is NOT an operational test form. Test scores cannot be projected based on performance on released test questions. Copyright © 2008 by the California Department of Education.

GRADE 7 — NUMBER SENSE

Standard Set 1.0

Students know the properties of, and compute with, rational numbers expressed in a variety of forms:

1.1

Read, write, and compare rational numbers in scientific notation (positive

and negative powers of 10) with approximate numbers using scientific notation.

1.2

Add, subtract, multiply, and divide rational numbers (integers, fractions, and

terminating decimals) and take positive rational numbers to whole-number

powers.

1.3

Convert fractions to decimals and percents and use these representations in estimations, computations, and applications.

1.6

Calculate the percentage of increases and decreases of a quantity.

1.7

Solve problems that involve discounts, markups, commissions, and profit,

and compute simple and compound interest.

Standard Set 2.0

Students use exponents, powers, and roots, and use exponents in working with fractions:

2.1

Understand negative whole-number exponents. Multiply and divide

expressions involving exponents with a common base.

2.2

Add and subtract fractions by using factoring to find common denominators.

2.3

Multiply, divide, and simplify rational numbers by using exponent rules.

2.4

Use the inverse relationship between raising to a power and extracting the

root of a perfect square integer; for an integer that is not square, determine

without a calculator the two integers between which its square root lies and

explain why.

2.5

Understand the meaning of the absolute value of a number; interpret the

absolute value as the distance of the number from zero on a number line;

and determine the absolute value of real numbers.

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