ID 777

Algebra  K10Solve the simultaneous equations:

x – 4y = 0

x + y = 4

ID 778

Algebra  K10Solve the inequality:

444 + 555y < 333

ID 779

Algebra  K10Which statement is correct for

10(a + 20) = 30(a – 40)

ID 780

Algebra  K10Which gives the largest answer?

ID 784

Algebra  K10Which statement is correct for

0.5 (x – 5) = 0.2(x – 2)

ID 787

Algebra  K10Solve the equation:
99 + 88y = 77

ID 788

Algebra  K10Which gives the largest answer if a = 11?

ID 789

Algebra  K10If 3( 2a – 1) = 0

then 4( 3a – 2) = . . .

ID 790

Algebra  K10Solve

( y – 1.2345 ) / 12345 = 12345 ( y – 1.2345 )

ID 791

Algebra  K10Identify the location of point E under translation (x 2 + 3, y – 4).

ID 792

Algebra  K10Which equation represents line L?

ID 793

Algebra  K10Identify the point of intersection of the parallelogram's diagonals.

ID 811

Algebra  K10Which area is the smallest?

ID 818

Algebra  K10Find X

ID 834

Algebra  K10Find the expression that is TRUE.

ID 835

Algebra  K10Find the expression that is INCORRECT.

ID 845

Algebra  K10Find X, if X > 0

ID 846

Algebra  K10Find the sum of all the elements of this finite geometric sequence:

1, 2, 4, 8, 16, 32, 64, . . . , 1024.

ID 849

Algebra  K10How much does the maximum value of


exceed the maximum value of

1-(1-x)2 ?

ID 852

Algebra  K10Find x.

ID 1037

Algebra  K10The product of 4 consecutive integers is 840.

Find the first of these numbers.

ID 1080

Algebra  K10Two candles are of the same height.
One burns in four hours, while the other burns in five hours.

When is one twice the height of the other?

ID 1117

Algebra  K10In Morse code, each symbol is either a dot or a dash.

 How many different sequences of 8 symbols are possible?

ID 1180

Algebra  K10Which point is closer to the origin (0,0)?

ID 1195

Algebra  K10Which point does NOT belong to the line y = 3 + 0.25 x ?

ID 1205

Algebra  K10How many numbers from 1 to 111 inclusive are equal to the cube of an integer?

ID 1354

Algebra  K10What is the least positive integer n such that

1 + 2 + . . . + n > 999

ID 1544

Algebra  K10What number divided by 1001 is the same as that number minus 1001?

ID 1552

Algebra  K10One apple and one banana together cost $3.
One apple and one carrot together cost $4.
One banana and one carrot together cost $5.

How much does an apple cost?

ID 1615

Algebra  K10You have two buckets. The first bucket contains 5 liters of water and the second contains 5 liters of milk.

If you pour 1 liter of the water into the milk and then return 1 liter of the mixture to the water bucket, what are the proportions of milk to water in the first bucket?

ID 1652

Algebra  K10Find the last digits of the product.

(7 x 5 x 4 x 5 x 3 x 1)33

ID 1960

Algebra  K10I would like to write 1000 as n2 - m2, where n and m are positive integers.

Which number can be a solution for the problem?

ID 3070

Algebra  K10Which is the best representation of the function

y = 1x - 2?

ID 3112

Algebra  K10Identify the location of point E under translation (x 2 + 4, y – 4).

ID 3122

Algebra  K10Which area is the largest?

ID 3142

Algebra  K10In the equation

y = 9x2 – 1,

which is the value of x when y = 35?

ID 3150

Algebra  K10Which of the following green areas best represents the graph of the inequality

y > 1 + x2

ID 3152

Algebra  K10A is the set of all points (x,y) in the shaded region.

Find the set B consisting of all points (2x, -y)?

ID 3153

Algebra  K10The last digit of the number 444 is:

ID 3155

Algebra  K10A perfect cube is an integer whose cube root is an integer.
For example, 64 and 125 are perfect cubes.
A and B are perfect cubes.

Which of the following will NOT necessarily be a perfect cube?

ID 3180

Algebra  K10Anna used 189 digits to number the pages in her diary.

How many pages does the diary have?

ID 3444

Algebra  K10100% of 90 girls and 90% of 100 boys have shown up in the concert hall on time.
10 teachers came even earlier.

What percentage of the people were late?

ID 3515

Algebra  K10Divide 77 into three parts so that one is 150 percent of each of the other two.

What is the smallest number?

ID 3660

Algebra  K10For which of the following is XX the square of an integer?

ID 3742

Algebra  K10Engineers at a race company make three discoveries.
The first invention saves 50% of fuel, the second 30%, and the third 20%.

If the company uses all three innovations at once, how much fuel does a car consume compared with a normal car?

ID 3865

Algebra  K10 The average age of all teachers and students in a school is 15.
The average age of the teachers is 33.
The average age of the students is 12.

What is the ratio of teachers to students in the school?

ID 3891

Algebra  K10One pipe can empty a pool 5 times faster than a second pipe.
When both pipes are opened, they empty the pool in five hours.

How long would it take to empty the pool if only the faster pipe is used?

ID 3912

Algebra  K10What is the 100th positive integer that is not divisible by 10?

ID 3921

Algebra  K10The sum of the ages of four sisters is 30.
The sum of their ages four years ago was 15.

How old is the youngest sister?

ID 4028

Algebra  K10What is x?

ID 4042

Algebra  K10Find the value.

ID 4076

Algebra  K10A retailer offers a 25% discount off the normal price of a wooden puzzle.
She makes a profit of 25% over the cost of the puzzle.

What is her profit if the normal price of the puzzle is $20?

ID 4079

Algebra  K10An outlet pipe can drain a full pool in 12 hours.
An inlet pipe can fill the empty pool in 8 hours.
The performance of the pipes does not depend on the water volume in the pool.

If both valves are opened, how long will it take to fill the pool?

ID 4272

Algebra  K10A circle of radius 3 is drawn centered at the origin.

How many squares of side length 1 and integer coordinate vertices are inside the circle or intersect it?

ID 4374

Algebra  K10What is the value of

2014 x 2014 - 2012 x 2016?

ID 4379

Algebra  K10Which of the following gives the smallest result?

Do not use a calculator.

ID 4473

Algebra  K10Mrs. Smith puts $10,000 into a saving account that earns 2% interest compounded annually.

Which expression can be used to find the value of her money in the account at the end of the third year?

ID 4651

Algebra  K10James has scored an average of 10 on his first 10 tests.

What score should he get in his eleventh test, so that his average moves up to 11?

ID 4866

Algebra  K10Gerry earns 9% commission for each camera sold.

Today, he earned $44.1 commission.

What was his sales total for today?

ID 5107

Algebra  K10In a shop, two liters of water costs $1, two liters of natural syrup cost $21, and two liters of the beverage that includes both costs $2.
The shop does not charge a premium for mixing the beverage.

What part of this beverage is the syrup?

ID 5271

Algebra  K10If 15 students occupy 5/6 of the seats in the classroom, how many students would occupy 2/3 of the seats in the classroom?