Download Evaluate the expression for the given value of the variable

Advanced Algebra II
Test #1 Review
Name:_______________________; Date _________
Evaluate the expression for the given value of the variable.
2. 6h  2  h when h=4
1. (k  2)2  6k when k= - 5
3.  x 2  5 y 2 when x= -2 and y= -3
4. n3  4n  10 when n= -3
In problems 5 and 6; indentify the variable, write an equation that represents the problem, solve the
equation and indentify the solution.
5. Twice the sum of a number and 16 is 30.
6. Five less than the sum of a number and 3 is 49.
In 7 and 8, simplify the expression.
7. 8( s  t )  16(t  s)
8. 3( x2  y)  9( x 2  2 y)
In 9-14, solve the equation. Check your solution.
5
1
9. 7  c  22
10. 1  a  5
2
3
11. 3(2 x  5)  x  7( x  3)
13.
1 1
t  t  10
2 3
12. 2(4  3x)  7  6( x  1)
14. Solve for x. Then find the length of each side
of the figure.
Perimeter = 46
2x+3
x+2
In 15-17, solve for y (isolate y), then find the value of y for the given value of x.
15) 8 y  14 x  22; x  5
16) 8 y  6 x   y  36; x  6
1
2
17) x  y  2; x  1
3
5
In 18-23, solve for the indicated value and then evaluate 18-20 at the given values.
19) n  V  at for a;
3xy
18) E  MC 2 for M; E  2,C  2
 5g  7
20)
n  4,V  1,t  2
2
21) v 
1
at ;
2
for t
22) A  p  prt , for t
23)
3xy
 5g  7
2
for x; g  2, y  3,
for g
In 24-29, solve for all values of x. Give simplest solution set and then graph the solution on the
number line provided.
24) 4  10x  26
25) x  4  5 and x  2  3
26) 10  3x  1  14
27)
1
3 3
x   x and x  3  4
2
4 2
28) x  4  2 or x  2  2
29)
x
2
 4  2 or x   2
3
3
Solve the following.
30) A box of greeting cards costs $4.95. There is a shipping and handling fee of $5.25 for the entire
order. How many boxes of cards can you order if you want to spend no more than $30?
Identify variables
Write Equations
Solve Equation
Interpret results
31) Find four consecutive integers such that the sum of all four is 78.
Identify variables
Write Equations
Solve Equation
Interpret results
32) You and some friends have raised $250 to help make a video for a contest. You need $35 to
buy videotapes. It costs $45 per day to rent the video camera. Write and solve an inequality to find
the possible numbers of days you can rent the video camera.
Identify variables
Write Equations
Solve Equation
Interpret results