Page 115 - Algebra 1

Lesson Practice
Simplify each expression.
a.
(Ex 1)
b.
(Ex 1)
c.
(Ex 1)
d.
(Ex 2)
e.
(Ex 2)
f.
(Ex 2)
g.
(Ex 3)
-2xy-3x+4-4xy-2x 7m - (-8m) + 9m
3yac - 2ac + 6acy
x4y + 3x4y + 2x4y x2y–3yx+2yx2 -2xy+yx m3n+m3n-x2y7 +x2y7
A triangular-shaped display case has the dimensions shown on the diagram. Find the perimeter of the display case as a simplified variable expression. Then evaluate the expression for x = 2 feet.
x+1
x2 x2 + 1
Practice
Distributed and Integrated
1. Write an algebraic expression for this statement: The sum of 5 times a number and -8. (17)
Simplify each expression by adding like terms.
*2.
(18)
*3.
(18)
*4.
(18)
*5.
(18)
6.
(5)
7.
(6)
m+4+3m-6-2m+mc-4mc xy-3xy2 +5y2x-4xy
Multiple Choice Simplify 2x2 + 3x. A 5x2
C 6x3 Reading
b. Write an expression for the number they read altogether.
Justify After doing three addition problems that included negative numbers, John
found that all three answers were negative. John concluded that any addition problem involving a negative number must have a negative answer. Is John correct? Explain. Give a counterexample if necessary.
Geography The retention pond at Martha’s summer home in Florida changed -3 inches every day for 5 days. After 5 days, the water level was -40 inches. What was the original water level 5 days ago?
B 5x3
D cannot be simplified
Two classes are keeping track of how many pages they can read. In one class, the boys read 15 pages per night and the girls read 12 pages per night. In another class, the boys read 7 pages per night and the girls read 9 pages per night. Each class has x girls and y boys.
a. Write expressions representing the number of pages each class read per night.
100
Saxon Algebra 1