PSAT - Heart of Algebra

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PSAT (26) Which approximate value of x satisfies the equation shown? 8/7(x - 101/220) + 4(x + 8/9) =38

6.8

What math symbol does the word below translate to? adds up to

=

What math symbol does the word below translate to? as much as

=

What math symbol does the word below translate to? costs

=

What math symbol does the word below translate to? equals

=

What math symbol does the word below translate to? equivalent to

=

What math symbol does the word below translate to? has

=

What math symbol does the word below translate to? is

=

What math symbol does the word below translate to? the same as

=

What math symbol does the word below translate to? was

=

What math symbol does the word below translate to? will be

=

AE (30) What is the value of x? 2/5 + x/3 = 2/3

4/5

PSAT (54) In the system of linear equations, z represents a constant. If the system of equations has infinitely many solutions, what is the value of z? 1/8q + 1/5s=40 z1 + 8s =1,600

5

PSAT (51) If 3r + 2s = 24 and r + s =12, what is the value of r + 6?

6

PSAT (57) If 5c - 2b =15 and 3b - 4c =12, what is the value of b + c?

27

PSAT (74) If 3x - 7 < 8 and -6x - 2 < -26, then what is one possible value of x?

4 < x < 5 .. 4.1, 4.2, 4.3 etc.

PSAT (55) If 6a + 6b = 30 and 3a + 2b = 14, then what are the values of a and b?

4,1

What math symbol does the word below translate to? added to

+

What math symbol does the word below translate to? and

+

What math symbol does the word below translate to? combined

+

What math symbol does the word below translate to? increased by

+

What math symbol does the word below translate to? plus

+

What math symbol does the word below translate to? sum

+

What math symbol does the word below translate to? total

+

What math symbol does the word below translate to? decreased by

-

What math symbol does the word below translate to? difference between

-

What math symbol does the word below translate to? fewer

-

What math symbol does the word below translate to? less than

-

What math symbol does the word below translate to? minus

-

What math symbol does the word below translate to? smaller than

-

What math symbol does the word below translate to? subtracted from

-

PSAT (25) Which value of x satisfies the equation? -2(x-3)=17

-11/2

PSAT(24) Which value of x satisfies this equation: 1/2(3x + 17)=1/6(8x - 10)

-61

What math symbol does the word below translate to? divided by

/

What math symbol does the word below translate to? each

/

What math symbol does the word below translate to? out of

/

What math symbol does the word below translate to? per

/

What math symbol does the word below translate to? ratio

/

AE(30) What is the value of x? 7x/2 = 4x/3 - 3x/4

0

AE (30) What is the value of x? 4/3 - x/6 = 3x/4

16/11

There are four steps to breaking down word problems. Is this the correct order? Define any variables, choosing letters that can make sense. Break Sentences into short phrases Translate each phrase into a mathematical expression Put the expressions together to form an equation

yes

If your system of equations has _______ solution, then it will graph as a single line (one line directly on top of the other, because _________

infinitely many, one equation is a manipulation of the the other, their graphs are the same line

There are four steps to breaking down word problems. Is this the correct order? Define any variables, choosing letters that can make sense. Put the expressions together to form an equation Break Sentences into short phrases Translate each phrase into a mathematical expression

no

There are four steps to breaking down word problems. Is this the correct order? Define any variables, choosing letters that can make sense. Translate each phrase into a mathematical expression Break Sentences into short phrases Put the expressions together to form an equation

no

There are four steps to breaking down word problems. Is this the correct order? Translate each phrase into a mathematical expression Define any variables, choosing letters that can make sense. Break Sentences into short phrases Put the expressions together to form an equation

no

If your system of equations has _______ solution, then it will graph as parallel lines, because _________

no, two, parallel lines never intersect

If your system of equations has _______ solution, then it will graph as two lines intersecting at a single point, because _________

one, two straight lines have only one intersection

What math symbol does the word below translate to? a number

x

What math symbol does the word below translate to? by

x

What math symbol does the word below translate to? double

x

What math symbol does the word below translate to? how many

x

What math symbol does the word below translate to? how much

x

What math symbol does the word below translate to? multiplied by

x

What math symbol does the word below translate to? of

x

What math symbol does the word below translate to? product of

x

What math symbol does the word below translate to? times

x

What math symbol does the word below translate to? twice

x

What math symbol does the word below translate to? what

x

PSAT (71) If 8 - 2x > 6, which of the following describes all of the possible values of x?

x<1


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