Challenging Algebra

Authored by Naomi Tawiah

Mathematics

9th Grade

CCSS covered

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22 questions

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MATH RESPONSE QUESTION

2 mins • 1 pt

Solve the following using order of operations.
$8-6-\frac{28}{7}\left(10-7\right)^2$

$-34$

Mathematical Equivalence

Tags

CCSS.6.EE.A.2C

MATCH QUESTION

5 mins • 1 pt

Match the following equations with the correct solution.

$x=-3$

$3^2-4\left(2-3\right)+1$

$x=-2$

$\left(3-4\right)^2-2\left(\frac{3}{2}\right)$

$x=4$

$\sqrt[]{14-10}+\frac{2\left(3-1\right)}{2}$

$x=14$

$\frac{4+5}{2\left(1-3\right)}\cdot\frac{4}{3}$

MATH RESPONSE QUESTION

2 mins • 1 pt

Rewrite the following equation in slope-intercept form (y=mx+b)
$y+2=-3\left(x-1\right)$

$y=-3x+1$

Mathematical Equivalence

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the solution for x?
$18\le2-8x<26$

$x\ge-2\ or\ x<-3$

$-2\le x<3$

$-2.5\le x<-3.5$

$-3<x\le-2$

MATCH QUESTION

1 min • 1 pt

Match each of the expressions below with its appropriate factored form.

$3\left(2x+5\right)$

$9x^2-25$

$\left(3x+5\right)\left(3x-5\right)$

$6x+15$

$6x\left(x+3\right)$

$6x^2+18x$

MATCH QUESTION

1 min • 1 pt

Match each of the expressions below with its appropriate factored form.

$\left(x+3\right)\left(x+3\right)$

$x^2-4x-5$

$\left(x-5\right)\left(x+1\right)$

$x^2+6x+9$

$\left(x+6\right)\left(x-6\right)$

$x^2-36$

Tags

CCSS.HSA.APR.C.4

MATH RESPONSE QUESTION

1 min • 1 pt

Simplify the expression. Your final answer should be reduced.
$\frac{3}{2}-\frac{5}{6}\left(\frac{1}{3}\right)$

$\frac{11}{9}$

Mathematical Equivalence

Tags

CCSS.7.NS.A.1D

MATH RESPONSE QUESTION

2 mins • 1 pt

Simplify the expression. Your final answer should be reduced.
$-\frac{3}{5}\left(\frac{1}{2}\right)\div\left(-\frac{4}{5}\right)$

$\frac{3}{8}$

Mathematical Equivalence

Tags

CCSS.7.NS.A.2B

CATEGORIZE QUESTION

2 mins • 1 pt

Each of the options show an expression that could be simplified using exponent properties. Categorize the expressions that will or will not simplify to x⁶

Groups:

(a) Simplifies to x^6

(b) Does not simplify to x^6

$\left(x^2\right)^3$

$x^{-6}$

$\left(x^2\right)^4$

$\frac{x}{x^{-5}}$

$x^2\cdot x^3$

$\frac{x^{10}}{x^4}$

Tags

CCSS.8.EE.A.1

10.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which of the following is the correct method for rewriting the rational exponent as a radical? Select all that apply.
$4^{\frac{4}{3}}$

$\sqrt[3]{4^4}$

$\left(\sqrt[3]{4}\right)^4$

$\sqrt[4]{4^3}$

$\left(\sqrt[4]{4}\right)^3$

Tags

CCSS.HSN.RN.A.2

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Challenging Algebra

Solve the following using order of operations. 8−6−287(10−7)28-6-\frac{28}{7}\left(10-7\right)^28−6−728​(10−7)2

Match the following equations with the correct solution.

Rewrite the following equation in slope-intercept form (y=mx+b) y+2=−3(x−1)y+2=-3\left(x-1\right)y+2=−3(x−1)

What are the solution for x? 18≤2−8x<2618\le2-8x<2618≤2−8x<26

Match each of the expressions below with its appropriate factored form.

Match each of the expressions below with its appropriate factored form.

Simplify the expression. Your final answer should be reduced. 32−56(13)\frac{3}{2}-\frac{5}{6}\left(\frac{1}{3}\right)23​−65​(31​)

Simplify the expression. Your final answer should be reduced. −35(12)÷(−45)-\frac{3}{5}\left(\frac{1}{2}\right)\div\left(-\frac{4}{5}\right)−53​(21​)÷(−54​)

Each of the options show an expression that could be simplified using exponent properties. Categorize the expressions that will or will not simplify to x6

Which of the following is the correct method for rewriting the rational exponent as a radical? Select all that apply. 4434^{\frac{4}{3}}434​

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Popular Resources on Wayground

Discover more resources for Mathematics

Solve the following using order of operations.
$8-6-\frac{28}{7}\left(10-7\right)^2$

Rewrite the following equation in slope-intercept form (y=mx+b)
$y+2=-3\left(x-1\right)$

What are the solution for x?
$18\le2-8x<26$

Simplify the expression. Your final answer should be reduced.
$\frac{3}{2}-\frac{5}{6}\left(\frac{1}{3}\right)$

Simplify the expression. Your final answer should be reduced.
$-\frac{3}{5}\left(\frac{1}{2}\right)\div\left(-\frac{4}{5}\right)$

Each of the options show an expression that could be simplified using exponent properties. Categorize the expressions that will or will not simplify to x⁶

Which of the following is the correct method for rewriting the rational exponent as a radical? Select all that apply.
$4^{\frac{4}{3}}$