Radicals 1
Evaluate
\sqrt196
14
Evaluate root(3)(125)
5
Solve.
9x-7=-7
x=0
Solve.
-15=-4x+5
x=5
Solve.
-2=2+frac(1)(4)x
x=-16
Evaluate
root(3)(-27)
-3
Evaluate
sqrt(-121)
Not possible
Solve.
-16+3x=-8-5x
x=1
Solve.
1-3x=3x+13
x=-2
Solve.
x+3=-6+4x
x=3
Find the prime factorization of 48
2*2*2*2*3
Find the prime factorization of 660
2*2*3*5*11
Julia and Lena started reading a book at the same time. During the first week, Lena read 10 more pages than twice the number of pages Julia read. They have read a total of 340 pages.
Write a fully simplified equation that can be used to solve for x, the number of pages read by Julia.
3x+10=340
Billy and his brother, Reggie, are selling fancy chocolate bars. Billy is selling his for $8 per box. Reggie is selling his for $5 a box, and has already earned $20.
Write an equation that can be solved to find x, the number of boxes they each need to sell so that they earn the same amount.
8x=5x+20
Ann, Carrie, and Joe are sharing a bookshelf. Carrie has twice the amount of books that Ann has. Joe has 4 less books than Ann. They have a total of 48 books on the shelf.
Write an equation (simplified) that can be solved to find x, the number of books that Ann has.
4x-4=48
Simplify the radical
sqrt72
6sqrt2
Simplify the radical sqrt150
5sqrt6
Solve.
frac(3)(4)x+2=4-frac(1)(2)x
x=frac(8)(5)=1frac(3)(5)=1.6
Solve.
9.8+1.2x=-0.3x-4.3
x=frac(141)(15)=frac(47)(5)=9frac(2)(5)=9.4
Solve.
5(x+1)=3(2-x)
x=frac(1)(8)=0.125
Estimate the value of sqrt56
About 7.5
Estimate the value of
sqrt106
How many solutions does the equation have? Justify your answer.
4x+8=-13+7x
One solution, x=7
How many solutions does the equation have? Justify your answer.
4(x+3)=frac(1)(2)(48+8x)
No solutions
How many solutions does the equation have? Justify your answer.
5x-5=frac(1)(3)(-3+3x)
Infinite solutions
Simplify the radical
sqrt1750
5sqrt70
Estimate the value of
sqrt550
About 23.5
Solve.
frac(3)(5)(2x-4)=frac(1)(2)(x+5)
x=7
Write an equation that has no solutions.
Answers will vary.
Write an equation that has infinite solutions.
Answers will vary.