Activity Report

Guest

Log In

Pre Algebra

Demo Worksheet

HOW YOU DID

You can try and practice on 24 more questions

review

Let's have another look at your answers

close all

|

open all

question 1

Which of the following base-$10$ blocks represent the addition $2+5$. 

 

                


answer

Not attempted yet

redo problem

Comments

question 2

Simplify the following expression
$$50-3\cdot\left(1+3\right)^{2}$$


answer

Not attempted yet

redo problem

Comments

question 3

$\def\Va{2}\def\VPlusa{+2}\def\VMinusa{-2}\def\Vb{3}\def\VPlusb{+3}\def\VMinusb{-3}\def\Vc{8}\def\VPlusc{+8}\def\VMinusc{-8}$

What is the value of the expression  $$7a^{4}-\left(\left(3b\right)^{2}+9c\right)+4ac^{2}$$  if  $a=2$,  $b=3$ , $c\,=\,8$?


answer

Not attempted yet

redo problem

Comments

question 4

$\def\Va{17}\def\VPlusa{+17}\def\VMinusa{-17}\def\Vb{11}\def\VPlusb{+11}\def\VMinusb{-11}$

Solve for $x$ using the subtraction property of equality.\begin{align*} \separator {\Va +x}&={\Vb } \end{align*}


answer

Not attempted yet

redo problem

Comments

question 5

$\def\Vc{1000}\def\VPlusc{+1000}\def\VMinusc{-1000}\def\Vb{1600}\def\VPlusb{+1600}\def\VMinusb{-1600}$

Vince's car insurance has a  $\$\Vc $ deductible.  Find the amount $a$ that his insurance company will pay for a $\$\Vb $ claim.


answer

Not attempted yet

redo problem

Comments

question 6

$\def\VnSubTwoSub{3}\def\VPlusnSubTwoSub{+3}\def\VMinusnSubTwoSub{-3}\def\VnSubThreeSub{4}\def\VPlusnSubThreeSub{+4}\def\VMinusnSubThreeSub{-4}\def\VnSubFiveSub{1}\def\VPlusnSubFiveSub{+1}\def\VMinusnSubFiveSub{-1}\def\Vn{3240}\def\VPlusn{+3240}\def\VMinusn{-3240}$

Factor the following number  $\Vn $.


answer

Not attempted yet

redo problem

Comments

question 7

$\def\Va{-2}\def\VPlusa{-2}\def\VMinusa{+2}\def\Vb{5}\def\VPlusb{+5}\def\VMinusb{-5}\def\Vc{-9}\def\VPlusc{-9}\def\VMinusc{+9}\def\Vd{3}\def\VPlusd{+3}\def\VMinusd{-3}\def\Ve{-6}\def\VPluse{-6}\def\VMinuse{+6}$

Solve for $y$.$\Va y\VPlusc =\Vb \VPluse y$


answer

Not attempted yet

redo problem

Comments

question 8

Simplify and leave as a fraction.$$\frac{2\left(10-4\right)-5\left(-1-3\right)}{-8\left(6-3\right)-4\left(14-9\right)}$$


answer

Not attempted yet

redo problem

Comments

question 9

$\def\Va{9}\def\VPlusa{+9}\def\VMinusa{-9}\def\Vb{6}\def\VPlusb{+6}\def\VMinusb{-6}\def\Vc{11}\def\VPlusc{+11}\def\VMinusc{-11}$

Add$$\frac{\Vb x}{\Va }+\frac{\Vc y}{\Va }$$


answer

Not attempted yet

redo problem

Comments

question 10

$\def\Vn{10}\def\VPlusn{+10}\def\VMinusn{-10}\def\VpSubOneSub{3}\def\VPluspSubOneSub{+3}\def\VMinuspSubOneSub{-3}\def\VqSubOneSub{7}\def\VPlusqSubOneSub{+7}\def\VMinusqSubOneSub{-7}\def\Vm{-2}\def\VPlusm{-2}\def\VMinusm{+2}\def\VpSubTwoSub{4}\def\VPluspSubTwoSub{+4}\def\VMinuspSubTwoSub{-4}\def\VqSubTwoSub{8}\def\VPlusqSubTwoSub{+8}\def\VMinusqSubTwoSub{-8}$

Simplify and write as a fraction.$$\Vn \frac{\VpSubOneSub }{\VqSubOneSub }+\left(\Vm \frac{\VpSubTwoSub }{\VqSubTwoSub }\right)$$


answer

Not attempted yet

redo problem

Comments

question 11

$\def\VpSubOneSub{-15}\def\VPluspSubOneSub{-15}\def\VMinuspSubOneSub{+15}\def\VqSubOneSub{6}\def\VPlusqSubOneSub{+6}\def\VMinusqSubOneSub{-6}\def\VpSubTwoSub{12}\def\VPluspSubTwoSub{+12}\def\VMinuspSubTwoSub{-12}\def\VqSubTwoSub{6}\def\VPlusqSubTwoSub{+6}\def\VMinusqSubTwoSub{-6}\def\Va{\frac{-5}{2}}\def\VPlusa{+\frac{-5}{2}}\def\VMinusa{-\frac{-5}{2}}\def\Vb{2}\def\VPlusb{+2}\def\VMinusb{-2}$

Solve for $m$. \begin{align*} {m\VPlusa }&={\Vb } \end{align*}


answer

Not attempted yet

redo problem

Comments

question 12

$\def\Va{4}\def\VPlusa{+4}\def\VMinusa{-4}\def\Vc{16}\def\VPlusc{+16}\def\VMinusc{-16}\def\Vb{2}\def\VPlusb{+2}\def\VMinusb{-2}\def\VA{32}\def\VPlusA{+32}\def\VMinusA{-32}\def\Vd{4}\def\VPlusd{+4}\def\VMinusd{-4}\def\VB{8}\def\VPlusB{+8}\def\VMinusB{-8}\def\VpSubxSub{1}\def\VPluspSubxSub{+1}\def\VMinuspSubxSub{-1}\def\VpSubySub{7}\def\VPluspSubySub{+7}\def\VMinuspSubySub{-7}\def\VqSubxSub{13}\def\VPlusqSubxSub{+13}\def\VMinusqSubxSub{-13}\def\VqSubySub{13}\def\VPlusqSubySub{+13}\def\VMinusqSubySub{-13}$

Simplify. Assume all variables are non-negative.$${\sqrt[\,]{\VA x^{\VpSubxSub }y^{\VpSubySub }}}{\sqrt[]{\VB x^{\VqSubxSub }y^{\VqSubySub }}}$$


answer

Not attempted yet

redo problem

Comments

question 13

$\def\Vm{16}\def\VPlusm{+16}\def\VMinusm{-16}\def\Ve{16}\def\VPluse{+16}\def\VMinuse{-16}$

For every kilogram of a child's weight, pediatritian prescribes $\Ve \umg$ of fever reducer. If Isabella weights $\Vm \ukg$, how many milligrams  $g$  of fever reducer will her pediatritian prescribe?


answer

Not attempted yet

redo problem

Comments

question 14

$\def\Va{122}\def\VPlusa{+122}\def\VMinusa{-122}$

A blue whale weights $\Va $ metric tons. Convert the weight to kilograms.


answer

Not attempted yet

redo problem

Comments

question 15

One number is four more than six times another. Their sum is negative thirty one. Find the two numbers.


answer

Not attempted yet

redo problem

Comments

question 16

Mika has a total of $9$ dollars in quarters and nickels on his desk. The number of nickels is seven times the number of quarters. How many of each coin does he have?

Let $x$ represent the number of quarters.


answer

Not attempted yet

redo problem

Comments

question 17

Use the Pythagorean Theorem to find the length of the hypotenuse of the following triangle. 



answer

Not attempted yet

redo problem

Comments

question 18

$\def\Vc{277}\def\VPlusc{+277}\def\VMinusc{-277}\def\Va{115}\def\VPlusa{+115}\def\VMinusa{-115}$

Amy bought a triangular tent for her trip. The dimensions of the tent are shown in the figure below. Given that $a=115\,\ucm,\,c=277\,\ucm$, use the Pythagorean Theorem to find the height of the triangular tent.

 


answer

Not attempted yet

redo problem

Comments

question 19

$\def\Vb{8}\def\VPlusb{+8}\def\VMinusb{-8}\def\Vh{10}\def\VPlush{+10}\def\VMinush{-10}\def\VA{\dfrac{bh}{2}}\def\VPlusA{+\dfrac{bh}{2}}\def\VMinusA{-\dfrac{bh}{2}}\def\Vr{9}\def\VPlusr{+9}\def\VMinusr{-9}\def\VB{\pi r^{2}}\def\VPlusB{+\pi r^{2}}\def\VMinusB{-\pi r^{2}}\def\VS{B-A}\def\VPlusS{+B-A}\def\VMinusS{-B-A}$

What is the area of the shaded region below?


answer

Not attempted yet

redo problem

Comments

question 20

$\def\Va{-8}\def\VPlusa{-8}\def\VMinusa{+8}\def\Vb{6}\def\VPlusb{+6}\def\VMinusb{-6}\def\Vc{6}\def\VPlusc{+6}\def\VMinusc{-6}\def\Vd{16}\def\VPlusd{+16}\def\VMinusd{-16}\def\Ve{5}\def\VPluse{+5}\def\VMinuse{-5}\def\Vf{6}\def\VPlusf{+6}\def\VMinusf{-6}\def\Vy{\left(a+d\right)x^{2}+\left(b+e\right)x+\left(c+f\right)}\def\VPlusy{+\left(a+d\right)x^{2}+\left(b+e\right)x+\left(c+f\right)}\def\VMinusy{-\left(a+d\right)x^{2}+\left(b+e\right)x+\left(c+f\right)}$

Simplify $$y=\left(\Va x^{2}\VPlusb x\VPlusc \right)+\left(\Vd x^{2}\VPluse x\VPlusf \right)$$


answer

Not attempted yet

redo problem

Comments

question 21

$\def\VqSubOneSub{-4}\def\VPlusqSubOneSub{-4}\def\VMinusqSubOneSub{+4}\def\VqSubTwoSub{5}\def\VPlusqSubTwoSub{+5}\def\VMinusqSubTwoSub{-5}\def\VqSubThreeSub{-1}\def\VPlusqSubThreeSub{-1}\def\VMinusqSubThreeSub{+1}\def\VqSubFourSub{4}\def\VPlusqSubFourSub{+4}\def\VMinusqSubFourSub{-4}\def\VqSubFiveSub{-3}\def\VPlusqSubFiveSub{-3}\def\VMinusqSubFiveSub{+3}\def\VqSubSixSub{-3}\def\VPlusqSubSixSub{-3}\def\VMinusqSubSixSub{+3}\def\VqSubSevenSub{4}\def\VPlusqSubSevenSub{+4}\def\VMinusqSubSevenSub{-4}\def\VqSubEightSub{-5}\def\VPlusqSubEightSub{-5}\def\VMinusqSubEightSub{+5}\def\VqSubNineSub{7}\def\VPlusqSubNineSub{+7}\def\VMinusqSubNineSub{-7}\def\VqSubOneZeroSub{7}\def\VPlusqSubOneZeroSub{+7}\def\VMinusqSubOneZeroSub{-7}\def\VpSubOneSub{4}\def\VPluspSubOneSub{+4}\def\VMinuspSubOneSub{-4}\def\VpSubTwoSub{2}\def\VPluspSubTwoSub{+2}\def\VMinuspSubTwoSub{-2}\def\VpSubThreeSub{3}\def\VPluspSubThreeSub{+3}\def\VMinuspSubThreeSub{-3}$

Simplify the following expression using the properties of exponents
$$\left(\frac{\VpSubOneSub a^{\VqSubOneSub }b^{\VqSubTwoSub }}{a^{\VqSubThreeSub }b^{\VqSubFourSub }}\right)^{\VqSubFiveSub }\left(\frac{\VpSubTwoSub a^{\VqSubSixSub }b^{\VqSubSevenSub }}{\VpSubThreeSub a^{\VqSubEightSub }b^{\VqSubNineSub }}\right)^{\VqSubOneZeroSub }\,$$Use only positive exponents in your answer.


answer

Not attempted yet

redo problem

Comments

question 22

Find the values for each of the coordinates on the plot below:

 


answer

Not attempted yet

redo problem

Comments

question 23

$\def\Va{-7}\def\VPlusa{-7}\def\VMinusa{+7}\def\Vb{7}\def\VPlusb{+7}\def\VMinusb{-7}\def\Vy{b}\def\VPlusy{+b}\def\VMinusy{-b}\def\Vx{\frac{-b}{a}}\def\VPlusx{+\frac{-b}{a}}\def\VMinusx{-\frac{-b}{a}}$

Find the $x$ and $y$ intercepts for the following linear equation

$y=\Va x\VPlusb $


answer

Not attempted yet

redo problem

Comments

question 24

$\def\Vm{-2}\def\VPlusm{-2}\def\VMinusm{+2}\def\Vb{1}\def\VPlusb{+1}\def\VMinusb{-1}\def\VxSubOneSub{-5}\def\VPlusxSubOneSub{-5}\def\VMinusxSubOneSub{+5}\def\VxSubTwoSub{1}\def\VPlusxSubTwoSub{+1}\def\VMinusxSubTwoSub{-1}\def\VySubOneSub{11}\def\VPlusySubOneSub{+11}\def\VMinusySubOneSub{-11}\def\VySubTwoSub{-1}\def\VPlusySubTwoSub{-1}\def\VMinusySubTwoSub{+1}$

Find the slope of the line that includes points $\left(\VxSubOneSub ,\VySubOneSub \right)\,\text{and}\,\left(\VxSubTwoSub ,\VySubTwoSub \right).$


answer

Not attempted yet

redo problem

Comments

go back
HOME print