SAT- Basic Algebra - Part 1

Which of the following  expressions, when evaluated, equals an irrational number

•  $\sqrt{2}\ \times\sqrt{8}$  

•  $\frac{\sqrt{2}}{\sqrt{8}}$  

•  $\left(\sqrt{8}\right)^2$  

•  $\sqrt{2}+\sqrt{8}$  

Tags

CCSS.HSN.RN.B.3

When $x=\frac{1}{2}$ , what is the value of  $\frac{8\ x\ -\ 3}{x}?$  

•  $\frac{1}{2}$  

• 2

• 10

•  $\frac{5}{2}$  

Tags

CCSS.6.EE.A.2C

 What is the value of the expression below?$\left|\left|-8+4\right|-\left|3-9\right|\right|$  

• 2

•  $-18$  

• 18

•  $-2$  

Tags

CCSS.6.NS.C.7C

What is the sum of the prime factors of 140?

• 16

• 7

• 12

• 14

Tags

CCSS.6.EE.A.1

 What is the value of$\left(16^{\frac{1}{2}}\right)\left(16^{\frac{1}{3}}\right)\left(16^{\frac{1}{6}}\right)?$  

•  $16^{\frac{1}{36}}$  

• 4

• 16

• 1

Which of the following is not an irrational number?

• $\pi$

• $\frac{\sqrt{\pi^2}}{\pi}$

• $\sqrt{\pi^2}$

• $\frac{\pi^0}{\pi}$

Tags

CCSS.8.NS.A.1

What is the ratio of the circumference of a circle to its radius?

• $2\pi$

• 1

• $\pi$

• $\frac{\pi}{2}$

Tags

CCSS.7.G.B.4

 $7^a\ 7^b=\ \frac{7^c}{7^d},\ what\ is\ d\ in\ terms\ of\ a,\ b\ and\ c?$  

•  $\frac{c}{a\ b}$  

•  $c-a-b$  

•  $a+b-c$  

•  $\frac{c}{a+b}$  

Tags

CCSS.8.EE.A.1

On a test consisting of 80 questions, Marie answered 75% of the first 60 questions correctly. What percent of the other 20 questions did she need to answer correctly for her grade on the entire exam to be 80%?

• 100%

• 95%

• 90%

• 85%

Tags

CCSS.6.RP.A.3C

 $\left(3\ x^{-1}\right)^{\frac{2}{3}}$  

•  $3_{\sqrt{\left(\frac{3}{x}\right)^2}}$  

•  $3_{\sqrt{\frac{x}{3}}}$  

•  $3_{\sqrt{\left(\frac{x}{3}\right)^2}}$  

•  $3_{\sqrt{\frac{3}{x}}}$