1). Solve. √5𝑥 +6 = 17 The solution is x =___________121/5_________________? Or, the
solution is not a real number. (Simplify your answer. Type an integer or a fraction. Use a comma
to separate answers as needed.)
2). Solve. √3𝑦 + 2 = 7 The solution is y =_____________47/3__________________? Or, the
solution is not a real number. (Simplify your answer. Type an integer or a fraction. Use a comma
to separate answers as needed.)
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3). Solve. √𝑥 + 6 = 2 The solution is x =___________2_______________? Or, the solution is
not a real number. (Simplify your answer. Type an integer or a fraction. Use a comma to
separate answers as needed.)
4). Solve. 10=
1
√𝑥
The solution is x =__________1/100_______________? Or, there is no
solution.
5) Solve. 7√𝑥 − 1 +1 = x The solution is x =___ 1 , 50_______________________? (Use a
comma to separate answers.)
6). Solve. 3+√𝑧 − 13 = √𝑧 + 2 The solution is z =_______14_____________________? Or, the
solution is not a real number. (Simplify your answer. Type an integer or a fraction. Use a comma
to separate answers as needed.)
7). Solve. 4√𝑡 − 1 - √15𝑡 − 1 = 0 The solution is t =______15___________________?
8). At a height of h meters, you can see V kilometers to the horizon. These numbers are related
by the equation V = 3.5√ℎ. A person can see 357 km to the horizon from an airplane window.
How high is the airplane? The airplane is__10,404________meters high. (Simplify your answer.
Type an integer or a fraction.)
9). The formula r = 2√5𝐿 can be used to approximate the speed r, in miles per hour, of a car
that has left skid marks of length L, in feet. How far will a car skid at 30 mph? The car will
skid__45____feet.
10). In the right triangle, find the length of the side not given. Give an exact answer and an
approximation to three decimal places.
c
a
b
A=13, b=13 What is the value of c?____132__________ (Type an exact answer, using radicals
as needed.)
Approx solution is : 18.385
11). Guy wire. How long is a guy wire reaching from the top of a 1-ft pole to a point on the
ground 12 feet from the pole? What is the exact length? __145_________feet (Type an exact
answer, using radicals as needed.)
12). Darla is building a new desk. To make sure she had made a square corner, she measures
7ft. from the corner along one edge and 9ft. from the corner along the other edge. How long
should the diagonal be between those two points if the corner is a right angle? Diagonal
=__11.402____ft. (Round to the nearest thousandth.)
13). Solve. √4𝑥 − 13 = 1 x =______7/2____________? Or, there is no solution. (Simplify your
answer. Type an integer or a fraction.)
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14). Solve. √𝑥 = -8 The solution is x = -512 ___________________? Or, the solution is not a
real number. (Simplify your answer. Type an integer or a fraction. Use a comma to separate
answers as needed.)
15). Solve. 4√𝑦 − 1 = 2 The solution is y =17 ____________________? Or, the solution is not a
real number. (Simplify your answer. Type an integer or a fraction. Use a comma to separate
answers as needed.)
16). Solve. √5𝑥 + 29 = x+3 The solution is x =4 _________________________? Or, the
solution is not a real number. (Simplify your answer. Type an integer or a fraction. Use a comma
to separate answers as needed.)
17). Darla is building a new desk. To make sure she had made a square corner, she measures
8ft. from the corner along one edge and 5ft. from the corner along the other edge. How long
should the diagonal be between those two points if the corner is a right angle? Diagonal= 9.434
_ft. (Round to the nearest thousandth.)