Download 5. you and your father are going to the store to buy donuts

ALGEBRA 1B
MIDTERM REVIEW
1. WRITE THE FOLLOWING INEQUALITY IN
SLOPE-INTERCEPT FORM
4 x  8 y  40
2. FIND A SOLUTION TO THE SYSTEM
 y  3x  9

y


2
x

11

3. SIMPLIFY
12
120 x y
4 9
30 x y
5
4. SIMPLIFY
50  4 8
5. YOU AND YOUR FATHER ARE GOING TO THE
STORE TO BUY DONUTS AND CHEETOS. YOU
PURCHASE 6 DONUTS AND 4 BAGS OF CHEETOS
FOR $10. YOUR FATHER BUYS 4 DONUTS AND
8 BAGS OF CHEETOS FOR $12.
A. DEFINE TWO VARIABLES
B. WRITE A SYSTEM OF EQUATIONS TO FIND THE
COST OF ONE DONUT AND ONE BAG OF CHEETOS.
C. FIND THE COST OF EACH ITEM.
6. SOLVE THE SYSTEM OF EQUATIONS
USING ANY METHOD
4 x  3 y  8

5 x  2 y  11
7. SOLVE THE SYSTEM OF EQUATIONS
USING ANY METHOD
5 x  3 y  51

 y  10 x  8
8. GRAPH THE INEQUALITY IN A
COORDINATE PLANE.
1
y  x4
3
9. GRAPH THE INEQUALITY IN A
COORDINATE PLANE.
1

 y  2 x  3

y   2 x  2

3
10. SOLVE THE EQUATION. DETERMINE WHETHER
THE EQUATION HAS ONE SOLUTION,
NO SOLUTION, OR INFINITELY MANY SOLUTIONS
4(2 x  5)  6 x  4 x  18  2 x
11. SOLVE THE EQUATION. DETERMINE WHETHER
THE EQUATION HAS ONE SOLUTION,
NO SOLUTION, OR INFINITELY MANY SOLUTIONS
3x  4  5x  6x  3  4
14. WHICH OF THE FOLLOWING EQUATIONS
ARE EQUIVALENT? SHOW YOUR WORK
2
a. x  6
3
9
b. 2 x  7 x  (12  15)
3
c. 5(2 x  1)  91
15. USE THE GRAPH OF THE LINE 𝑓(𝑥) BELOW
TO FIND THE FOLLOWING.
A. X-INTERCEPT
B. Y-INTERCEPT
C. SLOPE OF THE LINE
D. SOLVE FOR 𝑥 IF 𝑓 𝑥 = 5
E. WRITE THE EQUATION OF THE LINE IN
SLOPE-INTERCEPT FORM
F. WRITE THE EQUATION OF THE LINE
IN POINT-SLOPE FORM
16. SOLVE THE SYSTEM BY GRAPHING
x  y  4

 y  2x 1
17. SUBTRACT THE POLYNOMIALS
 3x
2
 5 x  3   7 x  3 x  8 
2
y
2
 5 y  6  5 y  3 y  4
2
18. MULTIPLY AND SIMPLIFY COMPLETELY
3x  5 3x  7 
19. SIMPLIFY COMPLETELY
15w x y z
7 2
4
45w x yz
5 4
2
20. SIMPLIFY COMPLETELY
196