Unit 1 Math SSAT

Solve for x: 3x+5=20

• 5

• 10

• 15

• 20

Answer explanation

First you have to subtract 5 from each side since the opposite of positive five is -5. What ever you do on one side you do on the other. This should get you to 3x=15 , then you divide by 3 in each side which should get you to x=5.

What is the solution to the inequality 2x-4 < 10

• x < 7

• x < 8

• x > 7

• x > 6

Answer explanation

You first have to add four to each side which should get you to 2x<14. Then you divide each side by 2 which should get you to x <7.

If a shirt originally costs $40 and is now $50, what is the percent increase?

(Hint The formula for precent increase is [New Vaule- Old Vaule the divide it by the old Vaule.]

• 10%

• 20%

• 25%

• 30%

Answer explanation

To solve it you first subtract it by new-og which is 40-50 which gets you -10 then divide it by 40 which is .25, if you make it into a percent you get 25%.

A bike's price decreased from $150 to $120. What is the percent decrease?

(Hint: OG-New then x/OG)

• 15%

• 20%

• 25%

• 30%

Answer explanation

First we have to subtract the old Vaule with the new Vaule which gets us 30. Then we divide 30/150 which gets us .2, simplify it to a percent we get 20%

If a car travels 240 miles in 4 hours, what is it's speed in miles per hour?

• 50 mph

• 60 mph

• 70 mph

• 80 mph

Answer explanation

To get the answer you need to divide 240/4 which gets you to 60/1 which means that the car drives 60 mph.

The ratio of cats to dogs in a pet store is 3:2. If there are 12 cats, how many dogs are there?

• 6

• 8

• 9

• 10

Answer explanation

What to do is set the question up like a percent is over of thing. so the first fraction would be 3/2 then the second fraction is 12/x since we don't know how much cats there is. Then we cross multiply which gets us to 3x=24 then divide by 3 which gets you to x=8/

If 4/x= 12/36 what is x?

• 6

• 8

• 9

• 12

Answer explanation

First cross multiply the fractions. which gets you to 12x = 144, then divide by 12 which gets you x=12.

Simplify: 5x + 3x- 4.

• 8x-4

• 6x-4

• 2x+4

• 8x+4

Answer explanation

When need to first add the same variables which is 5x and 3x which gets us to 8x the we have the -4 remaing which we can't do anything with so we have 8x-4 as our answer.

Evaluate: 2y+3 when y=4

• 7

• 10

• 11

• 12

Answer explanation

Since y=4 you then have 2 times 4+ 3 and if you follow PEMDAS 2 times 4 is 8 then add 3 which gets you 11.

Write an expression for "3 more than twice a number divided by n."

• 2n+3

• 2n-3

• n+3

• 3n+2