#### A5 D25 G125 J625 M3125 ____?

The pattern is the next 2 letters from the alphabet and the number multiplied by 5 to get the next one...

#### Find the value of x if y= 8 in the equation: 2x+ 4y = 50

x = 9 because 2 (9) + 4(8) = 50

#### 3/9 x 2/3 = ____?

The answer is 6/27 simplified into 2/9.

#### What is the decimal form of ¾ %?

.0075 because ¾ is 75 percent or 75/100

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#### What is the ratio of ½ to 2/5?

5:4 because is is ½ divided by 2/5

#### Convert 3.4% as a fraction.

3.4/100 because percent is n/100

#### James’s dad is 5 times older than James and James is twice as old as his sister Sara. In two years, the sum of their ages will be 58. How old is James now?

8 years old – again solve it by making a table and derive the equation: Let x be James’s age now. Add 2 to get the ages in 2 yrs. Write the new relationship in an equation using the ages in 2 yrs. In two years, the sum of their ages will be 58. James is now 8 years old.

#### ¾ ÷ 1/8 = ____?

You will get 6 if you cross multiply the fractions

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#### 2187, 729, 243, 81, 27, 9, ____?

The next number in the sequence is 3. Notice that the numbers in the pattern were divided by 3 to get the next number. Therefore, you divide 2187 by 3 you’ll get 729, then the next and so on.

#### Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will be three times as old as Cara. How old is Sam?

Sam is 5 years old – to get it, make a table and derive the equation: Let x be Sam’s age: Write the new relationship in an equation using the ages in 5 yrs. In 5 years, Kit will be three times as old as Cara. 2x + 5 = 3 (x–5 + 5) 2x + 5 = 3x x = 5 Sam is now 5 years old.

#### What is the sum of ½ + 8/4 + 6/12 ?

The answer is 3 because ½ + 2 + ½ = 3.

#### What is -25 + 16?

Positive + negative numbers is to subtract them and follow the sign of the bigger number

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#### Find the value of x in the equation: 5x + 25=10

x = -3 because 5(-3) + 25 = 10

#### What is ¼ in decimal?

.25 because it is the same as 25/100

#### AZ CX EV GT ____?

Use the equivalent ascending and descending letters in the alphabet.

#### (-560) ÷ 7 = ___?

Dividing numbers with different signs = negative.

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#### 13 -21 34 -55 89 ___?

Subtract the 3rd and 1st to get the 2nd number, do the same to the next 3 sets

#### 1, 4, 9, 16, 25, 36, 49, 64, ___ ?

You can get this by squaring the numbers (1×1=1), (2×2=4), (3×3=9) and so on…

#### Michelle went to SM for the 3-day sale. She bought a new pair of shoes and paid only P2,450 discounted for 20% off. What was the original price of the shoes?

Original price is P3,062.50 To get it, simply divide P2450 by 80%

#### What is 107 – (-17) ?

Positive – negative numbers is to change the sign of the subtrahend and follow the rules in addition

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#### 25 is multiplied by 10 to the fifth power is?

2,500,000 because it is 25 x 100,000

#### What is the Least Common Denominator of 1/8, ¾, and 1/16?

LCD is 16 – the denominators are: 8, 4 and 16.

#### Cathy scored 85, 87, 90, 95, and 100 in her Math exams. What will be her average grade in Math from this period?

Add all the score and divide with the number of math exams which is 5.

#### (21) (-4) + (8) (-2) = ____?

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#### (-9) (-22) = ____?

Multiplying numbers with similar signs = positive

#### Letty left home and drove at the rate of 50 miles per hour for 2 hours. She stopped for lunch then drove for another 4 hours at 65 mph to reach Los Angeles. How many miles did Letty drive to reach LA?

Solution: D= 50 (2) + 4 (65) = 360 miles

#### If x=8, find the value of y in the equation: 4x– 2y = 28.

y = 2 because 4 (8) – 2 (2) = 28

#### 2.12 is multiplied by 10 to the sixth power is?

2,120,000 because 10 to the 6th power is in million

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#### What is the Greatest Common Factor of 36 and 54?

GCF is 18 since 36 and 64 are divisible by 18, 9, 6, 3.

#### 6/8 + 2 ½ + 4/12 is also the same as?

Simplify the fractions given and convert the mixed number into improper fraction

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