IMSM S1 Final Review

Solve Equations

100

x\div11-7=70

x=847

200

5/8 x+4=8

x=6\frac2 5

300

I have two dogs, one of which is 37 pounds heavier than the other. If the two dogs together weigh 119lbs, how much does the lighter one weigh? 

x+(x+37)=119

x=41

 41 lbs. 

400

16-2x=1\frac{1}{2}x+9

16-2x=1\frac{1}{2}x+9

16=3\frac{1}{2}x+9

7=3\frac{1}{2}x

2=x

500

Write & solve an equation.

I am now three years younger than twice what my age was six years ago. How old am I now? 

Let x= my age now. 

x=2(x-6)-3

x=15

Simplify Expressions

100

9999^0\times 1^9999\times 9999^1\times 0^9999

9999^0\times 1^9999\times 9999^1\times 0^9999

=1\times 1\times 9999\times 0

=0

200

(4y^4)^4

(4y^4)^4=256y^16

300

100-(100x-x)

100-99x

400

9999^2+9999

9999^2+9999

=9999(9999+1)

=9999(10000)

=99,990,000

500

(1/3x)^2+1/3x^2

=1/9x^2+1/3x^2

=1/9x^2+3/9x^2

=4/9x^2

Number Theory

100

True or false? If a whole number is not prime, then it must be composite. 

False! ex. 1

200

Is 777,777,777 prime or composite? Explain!

composite! 3|777,777,777

300

Is 161 prime or composite? Explain!

Composite!  121=7*23 

400

Evaluate. 

\sqrt 1936

\sqrt 1936 =44

500

Find the GCF & LCM of 1134 and 1215

GCF(1134, 1215) = 81

LCM(1134, 1215) = 17,010

Fractions

100

3\frac{2}{3}\div 6\frac{7}{8}

3\frac{2}{3}\div 6\frac{7}{8}

 = \frac{11}{3}\div\frac{55}{8}

= \frac{11}{3}\times \frac{8}{55}

=\frac{8}{15}

200

Evaluate.

(1\frac2 9)^3

(1\frac2 9)^3

=(\frac{11}{9})^3

=(\frac{1331}{729})

=1\frac{602}{729}

300

John spent \frac2 5 of his paycheck on a video game, and  \frac{1}{3}  of the remaining money on snacks. If he had $34 left, how much did he have to begin with?

$85

400

Solve. 

12/51=x/170

12/51=4/17=40/170

x=40

500

Mr. Ramirez had $600. He saved  3/5 and spent  3/8 of the remainder. How much did he spend? 

$90