Simplifying Expressions
Solving Equations
How many solutions?
Modeling with Equations
Miscellaneous
100
Simplify the following expression. -2(8x + 12)
-16x -24
100
Solve the following equation. 5x - 10 = -20
x = -2
100
How many solutions does the following equation have? 3x - 6 = 6x + 4
One solution
100
Form an equation to represent the relationship, "three more than two times a number is equal to six less than five times the number".
2x + 3 = 5x - 6
100
Simplify the expression below. Leave your answer as a base raised to a power. 8^3 * 8^6
8^9
200
Simplify the following expression. 2 - 4(3x + 6)
-12x - 22
200
Solve the following equation. 4x - 8 = 2x + 2
x = 5
200
How many solutions does the following equation have? 9x - 4x + 11 = 3 + 8 + 5x
Infinite solutions
200
Form an equation to represent the relationship, "three more than three times a number is equal to six more than two times the number". Now, solve your equation.
3x + 3 = 2x + 6 x = 3
200
Between which two consecutive integers does the square root of 66 lie between?
8 and 9
300
Simplify the following expression. 3x - 8(2x + 5) - 12
-13x - 52
300
Solve the following equation. 3(2x - 8) = -2x + 8
x = 4
300
What numbers would have to go in the blank spaces to give an equation with a solution of x = 4 8x - 6 = __ x + 6
5
300
Alex had some birthday money he wanted to spend at the mall in Idaho Falls. He bought a pair of shoes for $50 and three shirts. He spent $95 in total. What equation models this situation?
3s + 50 = 95
300
A triangle has side lengths 4, 9, and 12. Is it a right triangle?
No
400
Simplify the following expression. -2(6x - 5) + 4(5x - 6)
8x - 14
400
5 - (2x + 5) = 3x + 15
x = -3
400
What values would have to go in the blank spaces to create an equation with infinite solutions. -2(7x - 14) = ___ (-2x + ___)
7 and 4
400
Suzie had 40 pieces of Halloween candy. She decided to give two pieces to each of her friends. Now she has 16 pieces remaining. Write and solve the equation that models this situation.
40 - 2f = 16 f = 12
400
Knowing that 3x - 7 = -16, find an expression that has a value of -28.
Answers may vary, Ms Berry and Mr. Hoogestraat will check.
500
Simplify the following expression. 9x - 4 + 3(6x - 7) - 4(5x + 2) - 7
7x - 40
500
.5(8x -12) - 6 = .25(20x - 40)
x = -2
500
Fill in the blank to create an equation with a solution of x = 1/2 6x - 2x + 1 = ___ (-2x + 2)
x = 3
500
You have a coupon worth $20 off the purchase of a graphing calculator. At the same time the calculator is offered with a discount of 15%, but no further discounts may be applied. For what tag price on the calculator do you pay the same amount for each discount?
$133.33
500
If (a) is greater than zero, and (b) is more negative than (a) is positive, what operation(s) [+, - , x, division] could you placeinto the phrase a ⃝ b that would guarantee a negative result?
+, x, and division