Determine whether each expression is meaningful as a real number.
-√25
Yes
100
Determine whether the expression is meaningful as a real number.
√-81
no
100
Determine whether the given pair is a solution of the system of equations.
Remember to use alphabetically ordered variables.
(2,4); 8x-9y=-20
3x-2y=-2
yes
100
State the Pythagorean theorem
What is
a^2 + b^2 = c^2
100
A parking lot has attendants to park cars, and it uses spaces where cars are left before they are taken to permanent parking stalls. The number N of such spaces needed is approximated by the formula N=2.5 sq.rt A, where A is the average number of arrivals in peak hours. Find the number of spaces needed when the average number of arrivals is 36
15
200
Determine whether each expression is meaningful as areal number.
√-49
no
200
Simplify. Assume that the variable is non negative
√(64x^2)
8x
200
Solve using the elimination method
x + y= 13
-x + 3y = 7
(8,5)
200
What do the terms a, b, and c stand for in the Pythagorean Theorem
a and b are the sides of the triangle
c is the hypotenuse
200
A parking meter contains quarters and dimes worth $15.90. There are 93 coins in all. Find how many of each there are
44 quarters
49 dimes
300
Solve.
√(x+7)=15
218
300
Assume that the variable is non negative
What is
(√36x^2)
6x
300
Solve the following system of equations using the substitution method. First, solve one equation for one variable.
x + 7y = 32
2x + 3y = 9
(-3,5)
300
A triangle has side lengths of 9 and b. The hypotenuse is 15. Find the length of the third side of the right triangle.
b= 12
300
A parking meter contains nickles and dimes worth $6.15. There are 84 coins in all. Find how many of each there are.
45 quarters
39 dimes
400
Solve
x -6 = √x-4
x= 8
400
Simplify by factoring.
√700
10√7
400
Solve by the elimination method
4x - y = 4
x + 9y = 75
(3,8)
400
A triangle has side lengths 10 and b. The hypotenuse is 26. Find the length of the third side of the right triangle.
b= 24
400
A student has a number of $50 and $100 savings bonds to use for part of her college expenses. The total value of the bonds is $1600. There are 5 more $50 bonds than $100 bonds. How many of each type of bond does she have?
14
9
500
Solve
x-3 = √x-1
x= 5
500
Simplify by factoring
√300
10√3
500
Solve the following system using the multiplication principle first. Then add.
2a+3b=-1
3a+5b=-2
(1,-1)
500
Find the length of a diagonal of a square whose sides are 9 cm long. Give an exact answer and an approximation.
round the approximate length to the nearest thousandth.
9√2
12.728
500
A land mass is roughly in the shape of a rectangle whose perimeter is 1140 miles. The width is 110 miles less than the length. Find the length and the width.