Alg. 1 - Topic 1 Review

Props & Ops

Rational or Irrational?

Imperfect Squares

Square & Cube Roots

Equations w/Roots

100

$3+(2+5)=(3+2)+5$

The equation above shows the

a. Identity Property of Addition

b. Commutative Property of Multiplication

c. Associative Property of Addition

d. Distributive Property

c. Associative Property of Addition

100

Is 1/2 a rational number? Why or why not?

Yes, because it can be expressed as a fraction

100

$sqrt70$ is between which two consecutive integers?

8 and 9

100

Evaluate

$9^3$

729

100

Solve.

$x^2=49$

$x=+-7$

200

Write an example of the distributive property.

answers will vary:

a(b+c) = a(b)+a(c)

200

Is the square root of 2 considered rational or irrational? Why or why not?

Irrational, because 2 is not a perfect square.

200

Give a decimal approximation of $sqrt37.$

$approx6.1$

200

Evaluate

$root(3)(8)$

200

Solve.

$z^3=64$

$z=4$

300

$3(1/3)=1$

The equation above shows this property of multiplication.

Inverse Property of Multiplication

300

Explain how to determine if a number is rational.

A number is rational if it can be expressed as a fraction (e.g., integers, terminating or repeating decimals, square roots of perfect squares)

300

Give a decimal approximation of $sqrt130.$

$approx11.4$

300

What is the edge length of a rubik's cube with a volume of 27 in³?

3 in

300

Solve.

$v^3=36$

$v=root3(36)$

400

Evaluate:

$3^3-7+2*4^2div2$

400

Is $√47-14$ rational or irrational? Why?

Irrational, because 47 is not a perfect square. (I+R=I)

400

The area of a square frame is 55 square inches. Find the length of one side of the frame to the nearest tenth of an inch.

7.4 in.

400

Order from least to greatet:

$sqrt64, 3^3, root3(64), sqrt100, 4^2$

$root3(64), sqrt64, sqrt100, 4^2, 3^3$

400

Solve.

$g^2=80$

$g=+-sqrt80$

500

Evaluate:

$(3+15)div3-9*3+(3^2+11)$

-1

500

is $pi*0$ rational or irrational? Why?

Rational, because the answer is 0, an integer.

500

Order from least to greatest:

$sqrt17, pi, 4, 16/5$

$pi, 16/5, 4, sqrt17$

500

Will a square poster with an area of 81 cm² fit in a cube-shaped box with a volume of 700 cm³? Why or why not?

No. The poster has a length of 9 cm, so the length of the box would need to be at least 9 cm. The minimum volume of the box would need to be 9³=729 cm³, which is greater than 700.

500

Solve.

$y^3=-343$

$y=-7$